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Finding the Fourth Proportional to 844.64, 1,267.32 and 454.18

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Solution

The fourth proportional to 844.64, 1,267.32 and 454.18 is: 681.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.64 : 1,267.32 = 454.18 : x
  2. Step 2: Convert to fraction form
    844.64/1,267.32 = 454.18/x
  3. Step 3: Cross multiply
    844.64x = 1,267.32 × 454.18
  4. Step 4: Simplify right side
    844.64x = 575,591.40
  5. Step 5: Solve for x
    x = 575,591.40/844.64
  6. Step 6: Final answer
    x = 681.46

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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.