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Finding the Fourth Proportional to 1,251.95, 1,876.49 and 783.63

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Solution

The fourth proportional to 1,251.95, 1,876.49 and 783.63 is: 1,174.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.95 : 1,876.49 = 783.63 : x
  2. Step 2: Convert to fraction form
    1,251.95/1,876.49 = 783.63/x
  3. Step 3: Cross multiply
    1,251.95x = 1,876.49 × 783.63
  4. Step 4: Simplify right side
    1,251.95x = 1,470,472.88
  5. Step 5: Solve for x
    x = 1,470,472.88/1,251.95
  6. Step 6: Final answer
    x = 1,174.55

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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.