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Finding the Fourth Proportional to 642.33, 964.17 and 460.08

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Solution

The fourth proportional to 642.33, 964.17 and 460.08 is: 690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.33 : 964.17 = 460.08 : x
  2. Step 2: Convert to fraction form
    642.33/964.17 = 460.08/x
  3. Step 3: Cross multiply
    642.33x = 964.17 × 460.08
  4. Step 4: Simplify right side
    642.33x = 443,595.33
  5. Step 5: Solve for x
    x = 443,595.33/642.33
  6. Step 6: Final answer
    x = 690.60

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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.