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Finding the Fourth Proportional to 697.62, 961.70 and 500.78

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Solution

The fourth proportional to 697.62, 961.70 and 500.78 is: 690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.62 : 961.70 = 500.78 : x
  2. Step 2: Convert to fraction form
    697.62/961.70 = 500.78/x
  3. Step 3: Cross multiply
    697.62x = 961.70 × 500.78
  4. Step 4: Simplify right side
    697.62x = 481,600.13
  5. Step 5: Solve for x
    x = 481,600.13/697.62
  6. Step 6: Final answer
    x = 690.35

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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.