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Finding the Fourth Proportional to 864.16, 1,294.72 and 832.16

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Solution

The fourth proportional to 864.16, 1,294.72 and 832.16 is: 1,246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.16 : 1,294.72 = 832.16 : x
  2. Step 2: Convert to fraction form
    864.16/1,294.72 = 832.16/x
  3. Step 3: Cross multiply
    864.16x = 1,294.72 × 832.16
  4. Step 4: Simplify right side
    864.16x = 1,077,415.35
  5. Step 5: Solve for x
    x = 1,077,415.35/864.16
  6. Step 6: Final answer
    x = 1,246.78

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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.