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Finding the Fourth Proportional to 1,123.11, 1,685.54 and 778.86

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Solution

The fourth proportional to 1,123.11, 1,685.54 and 778.86 is: 1,168.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.11 : 1,685.54 = 778.86 : x
  2. Step 2: Convert to fraction form
    1,123.11/1,685.54 = 778.86/x
  3. Step 3: Cross multiply
    1,123.11x = 1,685.54 × 778.86
  4. Step 4: Simplify right side
    1,123.11x = 1,312,795.79
  5. Step 5: Solve for x
    x = 1,312,795.79/1,123.11
  6. Step 6: Final answer
    x = 1,168.89

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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.