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Finding the Fourth Proportional to 925.48, 1,274.70 and 832.20

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Solution

The fourth proportional to 925.48, 1,274.70 and 832.20 is: 1,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.48 : 1,274.70 = 832.20 : x
  2. Step 2: Convert to fraction form
    925.48/1,274.70 = 832.20/x
  3. Step 3: Cross multiply
    925.48x = 1,274.70 × 832.20
  4. Step 4: Simplify right side
    925.48x = 1,060,805.34
  5. Step 5: Solve for x
    x = 1,060,805.34/925.48
  6. Step 6: Final answer
    x = 1,146.22

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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.