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Finding the Fourth Proportional to 709.53, 978.80 and 476.25

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Solution

The fourth proportional to 709.53, 978.80 and 476.25 is: 656.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.53 : 978.80 = 476.25 : x
  2. Step 2: Convert to fraction form
    709.53/978.80 = 476.25/x
  3. Step 3: Cross multiply
    709.53x = 978.80 × 476.25
  4. Step 4: Simplify right side
    709.53x = 466,151.12
  5. Step 5: Solve for x
    x = 466,151.12/709.53
  6. Step 6: Final answer
    x = 656.99

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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.