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Finding the Fourth Proportional to 864.04, 1,289.42 and 771.78

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Solution

The fourth proportional to 864.04, 1,289.42 and 771.78 is: 1,151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.04 : 1,289.42 = 771.78 : x
  2. Step 2: Convert to fraction form
    864.04/1,289.42 = 771.78/x
  3. Step 3: Cross multiply
    864.04x = 1,289.42 × 771.78
  4. Step 4: Simplify right side
    864.04x = 995,148.57
  5. Step 5: Solve for x
    x = 995,148.57/864.04
  6. Step 6: Final answer
    x = 1,151.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.