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Finding the Fourth Proportional to 864.62, 1,297.58 and 634.11

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Solution

The fourth proportional to 864.62, 1,297.58 and 634.11 is: 951.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.62 : 1,297.58 = 634.11 : x
  2. Step 2: Convert to fraction form
    864.62/1,297.58 = 634.11/x
  3. Step 3: Cross multiply
    864.62x = 1,297.58 × 634.11
  4. Step 4: Simplify right side
    864.62x = 822,798.80
  5. Step 5: Solve for x
    x = 822,798.80/864.62
  6. Step 6: Final answer
    x = 951.63

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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.