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Finding the Fourth Proportional to 642.98, 965.02 and 515.54

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Solution

The fourth proportional to 642.98, 965.02 and 515.54 is: 773.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.98 : 965.02 = 515.54 : x
  2. Step 2: Convert to fraction form
    642.98/965.02 = 515.54/x
  3. Step 3: Cross multiply
    642.98x = 965.02 × 515.54
  4. Step 4: Simplify right side
    642.98x = 497,506.41
  5. Step 5: Solve for x
    x = 497,506.41/642.98
  6. Step 6: Final answer
    x = 773.75

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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.