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Finding the Fourth Proportional to 1,287.93, 1,931.90 and 422.24

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Solution

The fourth proportional to 1,287.93, 1,931.90 and 422.24 is: 633.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.93 : 1,931.90 = 422.24 : x
  2. Step 2: Convert to fraction form
    1,287.93/1,931.90 = 422.24/x
  3. Step 3: Cross multiply
    1,287.93x = 1,931.90 × 422.24
  4. Step 4: Simplify right side
    1,287.93x = 815,713.69
  5. Step 5: Solve for x
    x = 815,713.69/1,287.93
  6. Step 6: Final answer
    x = 633.35

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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.