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Finding the Fourth Proportional to 844.18, 1,165.33 and 512.71

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Solution

The fourth proportional to 844.18, 1,165.33 and 512.71 is: 707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.18 : 1,165.33 = 512.71 : x
  2. Step 2: Convert to fraction form
    844.18/1,165.33 = 512.71/x
  3. Step 3: Cross multiply
    844.18x = 1,165.33 × 512.71
  4. Step 4: Simplify right side
    844.18x = 597,479.18
  5. Step 5: Solve for x
    x = 597,479.18/844.18
  6. Step 6: Final answer
    x = 707.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.