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Finding the Fourth Proportional to 1,124.09, 1,686.89 and 393.67

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Solution

The fourth proportional to 1,124.09, 1,686.89 and 393.67 is: 590.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.09 : 1,686.89 = 393.67 : x
  2. Step 2: Convert to fraction form
    1,124.09/1,686.89 = 393.67/x
  3. Step 3: Cross multiply
    1,124.09x = 1,686.89 × 393.67
  4. Step 4: Simplify right side
    1,124.09x = 664,069.55
  5. Step 5: Solve for x
    x = 664,069.55/1,124.09
  6. Step 6: Final answer
    x = 590.76

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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.