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Finding the Fourth Proportional to 1,123.79, 1,685.70 and 343.91

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Solution

The fourth proportional to 1,123.79, 1,685.70 and 343.91 is: 515.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.79 : 1,685.70 = 343.91 : x
  2. Step 2: Convert to fraction form
    1,123.79/1,685.70 = 343.91/x
  3. Step 3: Cross multiply
    1,123.79x = 1,685.70 × 343.91
  4. Step 4: Simplify right side
    1,123.79x = 579,733.30
  5. Step 5: Solve for x
    x = 579,733.30/1,123.79
  6. Step 6: Final answer
    x = 515.87

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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.