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Finding the Fourth Proportional to 1,211.86, 1,818.20 and 749.00

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Solution

The fourth proportional to 1,211.86, 1,818.20 and 749.00 is: 1,123.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.86 : 1,818.20 = 749.00 : x
  2. Step 2: Convert to fraction form
    1,211.86/1,818.20 = 749.00/x
  3. Step 3: Cross multiply
    1,211.86x = 1,818.20 × 749.00
  4. Step 4: Simplify right side
    1,211.86x = 1,361,823.78
  5. Step 5: Solve for x
    x = 1,361,823.78/1,211.86
  6. Step 6: Final answer
    x = 1,123.75

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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.