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Finding the Fourth Proportional to 962.30, 1,328.03 and 542.63

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Solution

The fourth proportional to 962.30, 1,328.03 and 542.63 is: 748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.30 : 1,328.03 = 542.63 : x
  2. Step 2: Convert to fraction form
    962.30/1,328.03 = 542.63/x
  3. Step 3: Cross multiply
    962.30x = 1,328.03 × 542.63
  4. Step 4: Simplify right side
    962.30x = 720,619.57
  5. Step 5: Solve for x
    x = 720,619.57/962.30
  6. Step 6: Final answer
    x = 748.86

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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.