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Finding the Fourth Proportional to 708.47, 978.03 and 472.55

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Solution

The fourth proportional to 708.47, 978.03 and 472.55 is: 652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.47 : 978.03 = 472.55 : x
  2. Step 2: Convert to fraction form
    708.47/978.03 = 472.55/x
  3. Step 3: Cross multiply
    708.47x = 978.03 × 472.55
  4. Step 4: Simplify right side
    708.47x = 462,165.71
  5. Step 5: Solve for x
    x = 462,165.71/708.47
  6. Step 6: Final answer
    x = 652.35

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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.