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Finding the Fourth Proportional to 709.62, 978.43 and 457.18

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Solution

The fourth proportional to 709.62, 978.43 and 457.18 is: 630.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.62 : 978.43 = 457.18 : x
  2. Step 2: Convert to fraction form
    709.62/978.43 = 457.18/x
  3. Step 3: Cross multiply
    709.62x = 978.43 × 457.18
  4. Step 4: Simplify right side
    709.62x = 447,318.63
  5. Step 5: Solve for x
    x = 447,318.63/709.62
  6. Step 6: Final answer
    x = 630.36

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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.