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Finding the Fourth Proportional to 865.35, 1,296.98 and 317.24

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Solution

The fourth proportional to 865.35, 1,296.98 and 317.24 is: 475.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.35 : 1,296.98 = 317.24 : x
  2. Step 2: Convert to fraction form
    865.35/1,296.98 = 317.24/x
  3. Step 3: Cross multiply
    865.35x = 1,296.98 × 317.24
  4. Step 4: Simplify right side
    865.35x = 411,447.45
  5. Step 5: Solve for x
    x = 411,447.45/865.35
  6. Step 6: Final answer
    x = 475.47

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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.