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Finding the Fourth Proportional to 598.76, 826.09 and 362.80

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Solution

The fourth proportional to 598.76, 826.09 and 362.80 is: 500.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.76 : 826.09 = 362.80 : x
  2. Step 2: Convert to fraction form
    598.76/826.09 = 362.80/x
  3. Step 3: Cross multiply
    598.76x = 826.09 × 362.80
  4. Step 4: Simplify right side
    598.76x = 299,705.45
  5. Step 5: Solve for x
    x = 299,705.45/598.76
  6. Step 6: Final answer
    x = 500.54

Related Problems

Find fourth proportional to 299.38, 413.05 and 181.40
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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.