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Finding the Fourth Proportional to 962.01, 1,329.62 and 740.88

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Solution

The fourth proportional to 962.01, 1,329.62 and 740.88 is: 1,023.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.01 : 1,329.62 = 740.88 : x
  2. Step 2: Convert to fraction form
    962.01/1,329.62 = 740.88/x
  3. Step 3: Cross multiply
    962.01x = 1,329.62 × 740.88
  4. Step 4: Simplify right side
    962.01x = 985,085.16
  5. Step 5: Solve for x
    x = 985,085.16/962.01
  6. Step 6: Final answer
    x = 1,023.99

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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.