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Finding the Fourth Proportional to 709.92, 978.80 and 460.88

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Solution

The fourth proportional to 709.92, 978.80 and 460.88 is: 635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.92 : 978.80 = 460.88 : x
  2. Step 2: Convert to fraction form
    709.92/978.80 = 460.88/x
  3. Step 3: Cross multiply
    709.92x = 978.80 × 460.88
  4. Step 4: Simplify right side
    709.92x = 451,109.34
  5. Step 5: Solve for x
    x = 451,109.34/709.92
  6. Step 6: Final answer
    x = 635.44

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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.