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Finding the Fourth Proportional to 708.84, 977.68 and 542.72

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Solution

The fourth proportional to 708.84, 977.68 and 542.72 is: 748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.84 : 977.68 = 542.72 : x
  2. Step 2: Convert to fraction form
    708.84/977.68 = 542.72/x
  3. Step 3: Cross multiply
    708.84x = 977.68 × 542.72
  4. Step 4: Simplify right side
    708.84x = 530,606.49
  5. Step 5: Solve for x
    x = 530,606.49/708.84
  6. Step 6: Final answer
    x = 748.56

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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.