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Finding the Fourth Proportional to 642.87, 962.82 and 545.13

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Solution

The fourth proportional to 642.87, 962.82 and 545.13 is: 816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.87 : 962.82 = 545.13 : x
  2. Step 2: Convert to fraction form
    642.87/962.82 = 545.13/x
  3. Step 3: Cross multiply
    642.87x = 962.82 × 545.13
  4. Step 4: Simplify right side
    642.87x = 524,862.07
  5. Step 5: Solve for x
    x = 524,862.07/642.87
  6. Step 6: Final answer
    x = 816.44

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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.