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Finding the Fourth Proportional to 642.54, 964.05 and 296.04

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Solution

The fourth proportional to 642.54, 964.05 and 296.04 is: 444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.54 : 964.05 = 296.04 : x
  2. Step 2: Convert to fraction form
    642.54/964.05 = 296.04/x
  3. Step 3: Cross multiply
    642.54x = 964.05 × 296.04
  4. Step 4: Simplify right side
    642.54x = 285,397.36
  5. Step 5: Solve for x
    x = 285,397.36/642.54
  6. Step 6: Final answer
    x = 444.17

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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.