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Finding the Fourth Proportional to 843.74, 1,265.26 and 497.77

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Solution

The fourth proportional to 843.74, 1,265.26 and 497.77 is: 746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.74 : 1,265.26 = 497.77 : x
  2. Step 2: Convert to fraction form
    843.74/1,265.26 = 497.77/x
  3. Step 3: Cross multiply
    843.74x = 1,265.26 × 497.77
  4. Step 4: Simplify right side
    843.74x = 629,808.47
  5. Step 5: Solve for x
    x = 629,808.47/843.74
  6. Step 6: Final answer
    x = 746.45

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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.