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Finding the Fourth Proportional to 708.30, 977.94 and 542.22

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Solution

The fourth proportional to 708.30, 977.94 and 542.22 is: 748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.30 : 977.94 = 542.22 : x
  2. Step 2: Convert to fraction form
    708.30/977.94 = 542.22/x
  3. Step 3: Cross multiply
    708.30x = 977.94 × 542.22
  4. Step 4: Simplify right side
    708.30x = 530,258.63
  5. Step 5: Solve for x
    x = 530,258.63/708.30
  6. Step 6: Final answer
    x = 748.64

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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.