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Finding the Fourth Proportional to 1,141.88, 1,711.18 and 648.68

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Solution

The fourth proportional to 1,141.88, 1,711.18 and 648.68 is: 972.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.88 : 1,711.18 = 648.68 : x
  2. Step 2: Convert to fraction form
    1,141.88/1,711.18 = 648.68/x
  3. Step 3: Cross multiply
    1,141.88x = 1,711.18 × 648.68
  4. Step 4: Simplify right side
    1,141.88x = 1,110,008.24
  5. Step 5: Solve for x
    x = 1,110,008.24/1,141.88
  6. Step 6: Final answer
    x = 972.09

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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.