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Finding the Fourth Proportional to 864.30, 1,296.78 and 316.51

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Solution

The fourth proportional to 864.30, 1,296.78 and 316.51 is: 474.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.30 : 1,296.78 = 316.51 : x
  2. Step 2: Convert to fraction form
    864.30/1,296.78 = 316.51/x
  3. Step 3: Cross multiply
    864.30x = 1,296.78 × 316.51
  4. Step 4: Simplify right side
    864.30x = 410,439.41
  5. Step 5: Solve for x
    x = 410,439.41/864.30
  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.