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Finding the Fourth Proportional to 1,123.85, 1,685.39 and 430.16

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Solution

The fourth proportional to 1,123.85, 1,685.39 and 430.16 is: 645.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.85 : 1,685.39 = 430.16 : x
  2. Step 2: Convert to fraction form
    1,123.85/1,685.39 = 430.16/x
  3. Step 3: Cross multiply
    1,123.85x = 1,685.39 × 430.16
  4. Step 4: Simplify right side
    1,123.85x = 724,976.78
  5. Step 5: Solve for x
    x = 724,976.78/1,123.85
  6. Step 6: Final answer
    x = 645.08

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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.