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Finding the Fourth Proportional to 709.25, 979.07 and 457.53

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Solution

The fourth proportional to 709.25, 979.07 and 457.53 is: 631.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.25 : 979.07 = 457.53 : x
  2. Step 2: Convert to fraction form
    709.25/979.07 = 457.53/x
  3. Step 3: Cross multiply
    709.25x = 979.07 × 457.53
  4. Step 4: Simplify right side
    709.25x = 447,951.61
  5. Step 5: Solve for x
    x = 447,951.61/709.25
  6. Step 6: Final answer
    x = 631.59

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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.