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Finding the Fourth Proportional to 642.59, 959.53 and 511.12

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Solution

The fourth proportional to 642.59, 959.53 and 511.12 is: 763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.59 : 959.53 = 511.12 : x
  2. Step 2: Convert to fraction form
    642.59/959.53 = 511.12/x
  3. Step 3: Cross multiply
    642.59x = 959.53 × 511.12
  4. Step 4: Simplify right side
    642.59x = 490,432.42
  5. Step 5: Solve for x
    x = 490,432.42/642.59
  6. Step 6: Final answer
    x = 763.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.