Home / 1,422.50-2,132.40-497.45

Finding the Fourth Proportional to 1,422.50, 2,132.40 and 497.45

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Solution

The fourth proportional to 1,422.50, 2,132.40 and 497.45 is: 745.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.50 : 2,132.40 = 497.45 : x
  2. Step 2: Convert to fraction form
    1,422.50/2,132.40 = 497.45/x
  3. Step 3: Cross multiply
    1,422.50x = 2,132.40 × 497.45
  4. Step 4: Simplify right side
    1,422.50x = 1,060,765.85
  5. Step 5: Solve for x
    x = 1,060,765.85/1,422.50
  6. Step 6: Final answer
    x = 745.71

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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.