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Finding the Fourth Proportional to 642.18, 962.65 and 353.42

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Solution

The fourth proportional to 642.18, 962.65 and 353.42 is: 529.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.18 : 962.65 = 353.42 : x
  2. Step 2: Convert to fraction form
    642.18/962.65 = 353.42/x
  3. Step 3: Cross multiply
    642.18x = 962.65 × 353.42
  4. Step 4: Simplify right side
    642.18x = 340,219.76
  5. Step 5: Solve for x
    x = 340,219.76/642.18
  6. Step 6: Final answer
    x = 529.79

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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.