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Finding the Fourth Proportional to 708.54, 978.27 and 542.46

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Solution

The fourth proportional to 708.54, 978.27 and 542.46 is: 748.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.54 : 978.27 = 542.46 : x
  2. Step 2: Convert to fraction form
    708.54/978.27 = 542.46/x
  3. Step 3: Cross multiply
    708.54x = 978.27 × 542.46
  4. Step 4: Simplify right side
    708.54x = 530,672.34
  5. Step 5: Solve for x
    x = 530,672.34/708.54
  6. Step 6: Final answer
    x = 748.97

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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.