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Finding the Fourth Proportional to 731.93, 1,011.22 and 676.58

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Solution

The fourth proportional to 731.93, 1,011.22 and 676.58 is: 934.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.93 : 1,011.22 = 676.58 : x
  2. Step 2: Convert to fraction form
    731.93/1,011.22 = 676.58/x
  3. Step 3: Cross multiply
    731.93x = 1,011.22 × 676.58
  4. Step 4: Simplify right side
    731.93x = 684,164.48
  5. Step 5: Solve for x
    x = 684,164.48/731.93
  6. Step 6: Final answer
    x = 934.75

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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.