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Finding the Fourth Proportional to 652.24, 902.10 and 641.30

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Solution

The fourth proportional to 652.24, 902.10 and 641.30 is: 886.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.24 : 902.10 = 641.30 : x
  2. Step 2: Convert to fraction form
    652.24/902.10 = 641.30/x
  3. Step 3: Cross multiply
    652.24x = 902.10 × 641.30
  4. Step 4: Simplify right side
    652.24x = 578,516.73
  5. Step 5: Solve for x
    x = 578,516.73/652.24
  6. Step 6: Final answer
    x = 886.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.