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Finding the Fourth Proportional to 1,123.65, 1,685.81 and 877.70

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Solution

The fourth proportional to 1,123.65, 1,685.81 and 877.70 is: 1,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.65 : 1,685.81 = 877.70 : x
  2. Step 2: Convert to fraction form
    1,123.65/1,685.81 = 877.70/x
  3. Step 3: Cross multiply
    1,123.65x = 1,685.81 × 877.70
  4. Step 4: Simplify right side
    1,123.65x = 1,479,641.85
  5. Step 5: Solve for x
    x = 1,479,641.85/1,123.65
  6. Step 6: Final answer
    x = 1,316.82

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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.