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Finding the Fourth Proportional to 864.32, 1,289.84 and 772.05

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Solution

The fourth proportional to 864.32, 1,289.84 and 772.05 is: 1,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.32 : 1,289.84 = 772.05 : x
  2. Step 2: Convert to fraction form
    864.32/1,289.84 = 772.05/x
  3. Step 3: Cross multiply
    864.32x = 1,289.84 × 772.05
  4. Step 4: Simplify right side
    864.32x = 995,820.97
  5. Step 5: Solve for x
    x = 995,820.97/864.32
  6. Step 6: Final answer
    x = 1,152.14

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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.