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Finding the Fourth Proportional to 844.16, 1,165.19 and 512.46

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Solution

The fourth proportional to 844.16, 1,165.19 and 512.46 is: 707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.16 : 1,165.19 = 512.46 : x
  2. Step 2: Convert to fraction form
    844.16/1,165.19 = 512.46/x
  3. Step 3: Cross multiply
    844.16x = 1,165.19 × 512.46
  4. Step 4: Simplify right side
    844.16x = 597,110.71
  5. Step 5: Solve for x
    x = 597,110.71/844.16
  6. Step 6: Final answer
    x = 707.35

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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.