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Finding the Fourth Proportional to 1,073.85, 1,611.31 and 497.13

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Solution

The fourth proportional to 1,073.85, 1,611.31 and 497.13 is: 745.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.85 : 1,611.31 = 497.13 : x
  2. Step 2: Convert to fraction form
    1,073.85/1,611.31 = 497.13/x
  3. Step 3: Cross multiply
    1,073.85x = 1,611.31 × 497.13
  4. Step 4: Simplify right side
    1,073.85x = 801,030.54
  5. Step 5: Solve for x
    x = 801,030.54/1,073.85
  6. Step 6: Final answer
    x = 745.94

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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.