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Finding the Fourth Proportional to 1,422.45, 2,133.87 and 498.29

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Solution

The fourth proportional to 1,422.45, 2,133.87 and 498.29 is: 747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.45 : 2,133.87 = 498.29 : x
  2. Step 2: Convert to fraction form
    1,422.45/2,133.87 = 498.29/x
  3. Step 3: Cross multiply
    1,422.45x = 2,133.87 × 498.29
  4. Step 4: Simplify right side
    1,422.45x = 1,063,275.41
  5. Step 5: Solve for x
    x = 1,063,275.41/1,422.45
  6. Step 6: Final answer
    x = 747.50

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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.