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Finding the Fourth Proportional to 864.36, 1,296.72 and 316.55

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Solution

The fourth proportional to 864.36, 1,296.72 and 316.55 is: 474.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.36 : 1,296.72 = 316.55 : x
  2. Step 2: Convert to fraction form
    864.36/1,296.72 = 316.55/x
  3. Step 3: Cross multiply
    864.36x = 1,296.72 × 316.55
  4. Step 4: Simplify right side
    864.36x = 410,470.23
  5. Step 5: Solve for x
    x = 410,470.23/864.36
  6. Step 6: Final answer
    x = 474.88

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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.