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Finding the Fourth Proportional to 864.23, 1,296.34 and 316.47

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Solution

The fourth proportional to 864.23, 1,296.34 and 316.47 is: 474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.23 : 1,296.34 = 316.47 : x
  2. Step 2: Convert to fraction form
    864.23/1,296.34 = 316.47/x
  3. Step 3: Cross multiply
    864.23x = 1,296.34 × 316.47
  4. Step 4: Simplify right side
    864.23x = 410,247.03
  5. Step 5: Solve for x
    x = 410,247.03/864.23
  6. Step 6: Final answer
    x = 474.70

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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.