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Finding the Fourth Proportional to 921.76, 1,272.40 and 572.92

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Solution

The fourth proportional to 921.76, 1,272.40 and 572.92 is: 790.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.76 : 1,272.40 = 572.92 : x
  2. Step 2: Convert to fraction form
    921.76/1,272.40 = 572.92/x
  3. Step 3: Cross multiply
    921.76x = 1,272.40 × 572.92
  4. Step 4: Simplify right side
    921.76x = 728,983.41
  5. Step 5: Solve for x
    x = 728,983.41/921.76
  6. Step 6: Final answer
    x = 790.86

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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.