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Finding the Fourth Proportional to 696.86, 961.59 and 500.78

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Solution

The fourth proportional to 696.86, 961.59 and 500.78 is: 691.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.86 : 961.59 = 500.78 : x
  2. Step 2: Convert to fraction form
    696.86/961.59 = 500.78/x
  3. Step 3: Cross multiply
    696.86x = 961.59 × 500.78
  4. Step 4: Simplify right side
    696.86x = 481,545.04
  5. Step 5: Solve for x
    x = 481,545.04/696.86
  6. Step 6: Final answer
    x = 691.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.