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Finding the Fourth Proportional to 500.84, 691.50 and 314.61

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Solution

The fourth proportional to 500.84, 691.50 and 314.61 is: 434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.84 : 691.50 = 314.61 : x
  2. Step 2: Convert to fraction form
    500.84/691.50 = 314.61/x
  3. Step 3: Cross multiply
    500.84x = 691.50 × 314.61
  4. Step 4: Simplify right side
    500.84x = 217,552.82
  5. Step 5: Solve for x
    x = 217,552.82/500.84
  6. Step 6: Final answer
    x = 434.38

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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.