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Finding the Fourth Proportional to 697.71, 961.50 and 500.88

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Solution

The fourth proportional to 697.71, 961.50 and 500.88 is: 690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.71 : 961.50 = 500.88 : x
  2. Step 2: Convert to fraction form
    697.71/961.50 = 500.88/x
  3. Step 3: Cross multiply
    697.71x = 961.50 × 500.88
  4. Step 4: Simplify right side
    697.71x = 481,596.12
  5. Step 5: Solve for x
    x = 481,596.12/697.71
  6. Step 6: Final answer
    x = 690.25

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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.