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Finding the Fourth Proportional to 697.57, 961.33 and 500.74

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Solution

The fourth proportional to 697.57, 961.33 and 500.74 is: 690.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.57 : 961.33 = 500.74 : x
  2. Step 2: Convert to fraction form
    697.57/961.33 = 500.74/x
  3. Step 3: Cross multiply
    697.57x = 961.33 × 500.74
  4. Step 4: Simplify right side
    697.57x = 481,373.88
  5. Step 5: Solve for x
    x = 481,373.88/697.57
  6. Step 6: Final answer
    x = 690.07

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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.