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Finding the Fourth Proportional to 1,123.56, 1,685.66 and 393.32

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Solution

The fourth proportional to 1,123.56, 1,685.66 and 393.32 is: 590.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.56 : 1,685.66 = 393.32 : x
  2. Step 2: Convert to fraction form
    1,123.56/1,685.66 = 393.32/x
  3. Step 3: Cross multiply
    1,123.56x = 1,685.66 × 393.32
  4. Step 4: Simplify right side
    1,123.56x = 663,003.79
  5. Step 5: Solve for x
    x = 663,003.79/1,123.56
  6. Step 6: Final answer
    x = 590.09

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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.