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Finding the Fourth Proportional to 642.97, 964.09 and 566.09

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Solution

The fourth proportional to 642.97, 964.09 and 566.09 is: 848.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.97 : 964.09 = 566.09 : x
  2. Step 2: Convert to fraction form
    642.97/964.09 = 566.09/x
  3. Step 3: Cross multiply
    642.97x = 964.09 × 566.09
  4. Step 4: Simplify right side
    642.97x = 545,760.29
  5. Step 5: Solve for x
    x = 545,760.29/642.97
  6. Step 6: Final answer
    x = 848.81

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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.