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Finding the Fourth Proportional to 1,244.13, 1,866.40 and 422.50

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Solution

The fourth proportional to 1,244.13, 1,866.40 and 422.50 is: 633.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.13 : 1,866.40 = 422.50 : x
  2. Step 2: Convert to fraction form
    1,244.13/1,866.40 = 422.50/x
  3. Step 3: Cross multiply
    1,244.13x = 1,866.40 × 422.50
  4. Step 4: Simplify right side
    1,244.13x = 788,554
  5. Step 5: Solve for x
    x = 788,554/1,244.13
  6. Step 6: Final answer
    x = 633.82

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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.