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Finding the Fourth Proportional to 642.63, 962.31 and 514.11

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Solution

The fourth proportional to 642.63, 962.31 and 514.11 is: 769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.63 : 962.31 = 514.11 : x
  2. Step 2: Convert to fraction form
    642.63/962.31 = 514.11/x
  3. Step 3: Cross multiply
    642.63x = 962.31 × 514.11
  4. Step 4: Simplify right side
    642.63x = 494,733.19
  5. Step 5: Solve for x
    x = 494,733.19/642.63
  6. Step 6: Final answer
    x = 769.86

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