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Finding the Fourth Proportional to 708.64, 978.40 and 542.55

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Solution

The fourth proportional to 708.64, 978.40 and 542.55 is: 749.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.64 : 978.40 = 542.55 : x
  2. Step 2: Convert to fraction form
    708.64/978.40 = 542.55/x
  3. Step 3: Cross multiply
    708.64x = 978.40 × 542.55
  4. Step 4: Simplify right side
    708.64x = 530,832.22
  5. Step 5: Solve for x
    x = 530,832.22/708.64
  6. Step 6: Final answer
    x = 749.09

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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.