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Finding the Fourth Proportional to 642.87, 965.48 and 616.77

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Solution

The fourth proportional to 642.87, 965.48 and 616.77 is: 926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.87 : 965.48 = 616.77 : x
  2. Step 2: Convert to fraction form
    642.87/965.48 = 616.77/x
  3. Step 3: Cross multiply
    642.87x = 965.48 × 616.77
  4. Step 4: Simplify right side
    642.87x = 595,476.02
  5. Step 5: Solve for x
    x = 595,476.02/642.87
  6. Step 6: Final answer
    x = 926.28

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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.