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Finding the Fourth Proportional to 500.91, 691.52 and 345.39

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Solution

The fourth proportional to 500.91, 691.52 and 345.39 is: 476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.91 : 691.52 = 345.39 : x
  2. Step 2: Convert to fraction form
    500.91/691.52 = 345.39/x
  3. Step 3: Cross multiply
    500.91x = 691.52 × 345.39
  4. Step 4: Simplify right side
    500.91x = 238,842.37
  5. Step 5: Solve for x
    x = 238,842.37/500.91
  6. Step 6: Final answer
    x = 476.82

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Double scale
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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.