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Finding the Fourth Proportional to 844.90, 1,166.26 and 495.70

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Solution

The fourth proportional to 844.90, 1,166.26 and 495.70 is: 684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.90 : 1,166.26 = 495.70 : x
  2. Step 2: Convert to fraction form
    844.90/1,166.26 = 495.70/x
  3. Step 3: Cross multiply
    844.90x = 1,166.26 × 495.70
  4. Step 4: Simplify right side
    844.90x = 578,115.08
  5. Step 5: Solve for x
    x = 578,115.08/844.90
  6. Step 6: Final answer
    x = 684.24

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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.