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Finding the Fourth Proportional to 842.76, 1,264.68 and 432.24

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Solution

The fourth proportional to 842.76, 1,264.68 and 432.24 is: 648.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.76 : 1,264.68 = 432.24 : x
  2. Step 2: Convert to fraction form
    842.76/1,264.68 = 432.24/x
  3. Step 3: Cross multiply
    842.76x = 1,264.68 × 432.24
  4. Step 4: Simplify right side
    842.76x = 546,645.28
  5. Step 5: Solve for x
    x = 546,645.28/842.76
  6. Step 6: Final answer
    x = 648.64

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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.