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Finding the Fourth Proportional to 598.75, 826.06 and 377.62

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Solution

The fourth proportional to 598.75, 826.06 and 377.62 is: 520.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.75 : 826.06 = 377.62 : x
  2. Step 2: Convert to fraction form
    598.75/826.06 = 377.62/x
  3. Step 3: Cross multiply
    598.75x = 826.06 × 377.62
  4. Step 4: Simplify right side
    598.75x = 311,936.78
  5. Step 5: Solve for x
    x = 311,936.78/598.75
  6. Step 6: Final answer
    x = 520.98

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Find fourth proportional to 299.38, 413.03 and 188.81
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.