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Finding the Fourth Proportional to 844.58, 1,265.79 and 497.78

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Solution

The fourth proportional to 844.58, 1,265.79 and 497.78 is: 746.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.58 : 1,265.79 = 497.78 : x
  2. Step 2: Convert to fraction form
    844.58/1,265.79 = 497.78/x
  3. Step 3: Cross multiply
    844.58x = 1,265.79 × 497.78
  4. Step 4: Simplify right side
    844.58x = 630,084.95
  5. Step 5: Solve for x
    x = 630,084.95/844.58
  6. Step 6: Final answer
    x = 746.03

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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.