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Finding the Fourth Proportional to 844.39, 1,266.83 and 498.04

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Solution

The fourth proportional to 844.39, 1,266.83 and 498.04 is: 747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.39 : 1,266.83 = 498.04 : x
  2. Step 2: Convert to fraction form
    844.39/1,266.83 = 498.04/x
  3. Step 3: Cross multiply
    844.39x = 1,266.83 × 498.04
  4. Step 4: Simplify right side
    844.39x = 630,925.74
  5. Step 5: Solve for x
    x = 630,925.74/844.39
  6. Step 6: Final answer
    x = 747.20

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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.