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Finding the Fourth Proportional to 407.68, 614.28 and 337.12

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Solution

The fourth proportional to 407.68, 614.28 and 337.12 is: 507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.68 : 614.28 = 337.12 : x
  2. Step 2: Convert to fraction form
    407.68/614.28 = 337.12/x
  3. Step 3: Cross multiply
    407.68x = 614.28 × 337.12
  4. Step 4: Simplify right side
    407.68x = 207,086.07
  5. Step 5: Solve for x
    x = 207,086.07/407.68
  6. Step 6: Final answer
    x = 507.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.