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Finding the Fourth Proportional to 708.61, 978.35 and 542.52

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Solution

The fourth proportional to 708.61, 978.35 and 542.52 is: 749.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.61 : 978.35 = 542.52 : x
  2. Step 2: Convert to fraction form
    708.61/978.35 = 542.52/x
  3. Step 3: Cross multiply
    708.61x = 978.35 × 542.52
  4. Step 4: Simplify right side
    708.61x = 530,774.44
  5. Step 5: Solve for x
    x = 530,774.44/708.61
  6. Step 6: Final answer
    x = 749.04

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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.