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Finding the Fourth Proportional to 1,132.29, 1,698.42 and 391.79

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Solution

The fourth proportional to 1,132.29, 1,698.42 and 391.79 is: 587.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.29 : 1,698.42 = 391.79 : x
  2. Step 2: Convert to fraction form
    1,132.29/1,698.42 = 391.79/x
  3. Step 3: Cross multiply
    1,132.29x = 1,698.42 × 391.79
  4. Step 4: Simplify right side
    1,132.29x = 665,415.48
  5. Step 5: Solve for x
    x = 665,415.48/1,132.29
  6. Step 6: Final answer
    x = 587.67

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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.