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Finding the Fourth Proportional to 1,123.80, 1,686.11 and 393.49

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Solution

The fourth proportional to 1,123.80, 1,686.11 and 393.49 is: 590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.80 : 1,686.11 = 393.49 : x
  2. Step 2: Convert to fraction form
    1,123.80/1,686.11 = 393.49/x
  3. Step 3: Cross multiply
    1,123.80x = 1,686.11 × 393.49
  4. Step 4: Simplify right side
    1,123.80x = 663,467.42
  5. Step 5: Solve for x
    x = 663,467.42/1,123.80
  6. Step 6: Final answer
    x = 590.38

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Double scale
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1.5x scale

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.