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Finding the Fourth Proportional to 962.48, 1,441.72 and 577.52

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Solution

The fourth proportional to 962.48, 1,441.72 and 577.52 is: 865.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.48 : 1,441.72 = 577.52 : x
  2. Step 2: Convert to fraction form
    962.48/1,441.72 = 577.52/x
  3. Step 3: Cross multiply
    962.48x = 1,441.72 × 577.52
  4. Step 4: Simplify right side
    962.48x = 832,622.13
  5. Step 5: Solve for x
    x = 832,622.13/962.48
  6. Step 6: Final answer
    x = 865.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.