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Finding the Fourth Proportional to 1,123.92, 1,686.66 and 393.50

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Solution

The fourth proportional to 1,123.92, 1,686.66 and 393.50 is: 590.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.92 : 1,686.66 = 393.50 : x
  2. Step 2: Convert to fraction form
    1,123.92/1,686.66 = 393.50/x
  3. Step 3: Cross multiply
    1,123.92x = 1,686.66 × 393.50
  4. Step 4: Simplify right side
    1,123.92x = 663,700.71
  5. Step 5: Solve for x
    x = 663,700.71/1,123.92
  6. Step 6: Final answer
    x = 590.52

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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.