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Finding the Fourth Proportional to 694.80, 1,036.08 and 655.92

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Solution

The fourth proportional to 694.80, 1,036.08 and 655.92 is: 978.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.80 : 1,036.08 = 655.92 : x
  2. Step 2: Convert to fraction form
    694.80/1,036.08 = 655.92/x
  3. Step 3: Cross multiply
    694.80x = 1,036.08 × 655.92
  4. Step 4: Simplify right side
    694.80x = 679,585.59
  5. Step 5: Solve for x
    x = 679,585.59/694.80
  6. Step 6: Final answer
    x = 978.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.