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Finding the Fourth Proportional to 498.76, 686.70 and 433.24

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Solution

The fourth proportional to 498.76, 686.70 and 433.24 is: 596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.76 : 686.70 = 433.24 : x
  2. Step 2: Convert to fraction form
    498.76/686.70 = 433.24/x
  3. Step 3: Cross multiply
    498.76x = 686.70 × 433.24
  4. Step 4: Simplify right side
    498.76x = 297,505.91
  5. Step 5: Solve for x
    x = 297,505.91/498.76
  6. Step 6: Final answer
    x = 596.49

Related Problems

Find fourth proportional to 249.38, 343.35 and 216.62
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Double scale
Find fourth proportional to 499.76, 688.08 and 434.24
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.