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Finding the Fourth Proportional to 864.05, 1,294.34 and 818.62

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Solution

The fourth proportional to 864.05, 1,294.34 and 818.62 is: 1,226.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.05 : 1,294.34 = 818.62 : x
  2. Step 2: Convert to fraction form
    864.05/1,294.34 = 818.62/x
  3. Step 3: Cross multiply
    864.05x = 1,294.34 × 818.62
  4. Step 4: Simplify right side
    864.05x = 1,059,565.28
  5. Step 5: Solve for x
    x = 1,059,565.28/864.05
  6. Step 6: Final answer
    x = 1,226.28

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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.