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Finding the Fourth Proportional to 962.35, 1,328.06 and 542.68

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Solution

The fourth proportional to 962.35, 1,328.06 and 542.68 is: 748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.35 : 1,328.06 = 542.68 : x
  2. Step 2: Convert to fraction form
    962.35/1,328.06 = 542.68/x
  3. Step 3: Cross multiply
    962.35x = 1,328.06 × 542.68
  4. Step 4: Simplify right side
    962.35x = 720,709.64
  5. Step 5: Solve for x
    x = 720,709.64/962.35
  6. Step 6: Final answer
    x = 748.91

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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.