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Finding the Fourth Proportional to 686.73, 1,030.55 and 641.17

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Solution

The fourth proportional to 686.73, 1,030.55 and 641.17 is: 962.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.73 : 1,030.55 = 641.17 : x
  2. Step 2: Convert to fraction form
    686.73/1,030.55 = 641.17/x
  3. Step 3: Cross multiply
    686.73x = 1,030.55 × 641.17
  4. Step 4: Simplify right side
    686.73x = 660,751.96
  5. Step 5: Solve for x
    x = 660,751.96/686.73
  6. Step 6: Final answer
    x = 962.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.