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Finding the Fourth Proportional to 642.33, 962.08 and 437.27

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Solution

The fourth proportional to 642.33, 962.08 and 437.27 is: 654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.33 : 962.08 = 437.27 : x
  2. Step 2: Convert to fraction form
    642.33/962.08 = 437.27/x
  3. Step 3: Cross multiply
    642.33x = 962.08 × 437.27
  4. Step 4: Simplify right side
    642.33x = 420,682.82
  5. Step 5: Solve for x
    x = 420,682.82/642.33
  6. Step 6: Final answer
    x = 654.93

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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.