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Finding the Fourth Proportional to 709.38, 978.21 and 476.10

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Solution

The fourth proportional to 709.38, 978.21 and 476.10 is: 656.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.38 : 978.21 = 476.10 : x
  2. Step 2: Convert to fraction form
    709.38/978.21 = 476.10/x
  3. Step 3: Cross multiply
    709.38x = 978.21 × 476.10
  4. Step 4: Simplify right side
    709.38x = 465,725.78
  5. Step 5: Solve for x
    x = 465,725.78/709.38
  6. Step 6: Final answer
    x = 656.53

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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.