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Finding the Fourth Proportional to 642.42, 958.82 and 591.12

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Solution

The fourth proportional to 642.42, 958.82 and 591.12 is: 882.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.42 : 958.82 = 591.12 : x
  2. Step 2: Convert to fraction form
    642.42/958.82 = 591.12/x
  3. Step 3: Cross multiply
    642.42x = 958.82 × 591.12
  4. Step 4: Simplify right side
    642.42x = 566,777.68
  5. Step 5: Solve for x
    x = 566,777.68/642.42
  6. Step 6: Final answer
    x = 882.25

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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.