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Finding the Fourth Proportional to 500.71, 690.95 and 314.30

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Solution

The fourth proportional to 500.71, 690.95 and 314.30 is: 433.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.71 : 690.95 = 314.30 : x
  2. Step 2: Convert to fraction form
    500.71/690.95 = 314.30/x
  3. Step 3: Cross multiply
    500.71x = 690.95 × 314.30
  4. Step 4: Simplify right side
    500.71x = 217,162.13
  5. Step 5: Solve for x
    x = 217,162.13/500.71
  6. Step 6: Final answer
    x = 433.71

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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.