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Finding the Fourth Proportional to 1,016.54, 1,402.31 and 642.89

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Solution

The fourth proportional to 1,016.54, 1,402.31 and 642.89 is: 886.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.54 : 1,402.31 = 642.89 : x
  2. Step 2: Convert to fraction form
    1,016.54/1,402.31 = 642.89/x
  3. Step 3: Cross multiply
    1,016.54x = 1,402.31 × 642.89
  4. Step 4: Simplify right side
    1,016.54x = 901,531.08
  5. Step 5: Solve for x
    x = 901,531.08/1,016.54
  6. Step 6: Final answer
    x = 886.86

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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.