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Finding the Fourth Proportional to 487.22, 731.63 and 467.57

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Solution

The fourth proportional to 487.22, 731.63 and 467.57 is: 702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.22 : 731.63 = 467.57 : x
  2. Step 2: Convert to fraction form
    487.22/731.63 = 467.57/x
  3. Step 3: Cross multiply
    487.22x = 731.63 × 467.57
  4. Step 4: Simplify right side
    487.22x = 342,091.24
  5. Step 5: Solve for x
    x = 342,091.24/487.22
  6. Step 6: Final answer
    x = 702.14

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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.