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Finding the Fourth Proportional to 598.74, 826.23 and 336.76

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Solution

The fourth proportional to 598.74, 826.23 and 336.76 is: 464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.74 : 826.23 = 336.76 : x
  2. Step 2: Convert to fraction form
    598.74/826.23 = 336.76/x
  3. Step 3: Cross multiply
    598.74x = 826.23 × 336.76
  4. Step 4: Simplify right side
    598.74x = 278,241.21
  5. Step 5: Solve for x
    x = 278,241.21/598.74
  6. Step 6: Final answer
    x = 464.71

Related Problems

Find fourth proportional to 299.37, 413.12 and 168.38
Half scale
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Double scale
Find fourth proportional to 599.74, 827.61 and 337.76
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.