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Finding the Fourth Proportional to 697.08, 961.62 and 476.04

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Solution

The fourth proportional to 697.08, 961.62 and 476.04 is: 656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.08 : 961.62 = 476.04 : x
  2. Step 2: Convert to fraction form
    697.08/961.62 = 476.04/x
  3. Step 3: Cross multiply
    697.08x = 961.62 × 476.04
  4. Step 4: Simplify right side
    697.08x = 457,769.58
  5. Step 5: Solve for x
    x = 457,769.58/697.08
  6. Step 6: Final answer
    x = 656.70

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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.