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Finding the Fourth Proportional to 927.40, 1,385.45 and 721.48

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Solution

The fourth proportional to 927.40, 1,385.45 and 721.48 is: 1,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.40 : 1,385.45 = 721.48 : x
  2. Step 2: Convert to fraction form
    927.40/1,385.45 = 721.48/x
  3. Step 3: Cross multiply
    927.40x = 1,385.45 × 721.48
  4. Step 4: Simplify right side
    927.40x = 999,574.47
  5. Step 5: Solve for x
    x = 999,574.47/927.40
  6. Step 6: Final answer
    x = 1,077.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.