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Finding the Fourth Proportional to 1,337.07, 1,842.65 and 963.43

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Solution

The fourth proportional to 1,337.07, 1,842.65 and 963.43 is: 1,327.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.07 : 1,842.65 = 963.43 : x
  2. Step 2: Convert to fraction form
    1,337.07/1,842.65 = 963.43/x
  3. Step 3: Cross multiply
    1,337.07x = 1,842.65 × 963.43
  4. Step 4: Simplify right side
    1,337.07x = 1,775,258.48
  5. Step 5: Solve for x
    x = 1,775,258.48/1,337.07
  6. Step 6: Final answer
    x = 1,327.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.