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Finding the Fourth Proportional to 1,148.56, 1,723.12 and 379.12

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Solution

The fourth proportional to 1,148.56, 1,723.12 and 379.12 is: 568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.56 : 1,723.12 = 379.12 : x
  2. Step 2: Convert to fraction form
    1,148.56/1,723.12 = 379.12/x
  3. Step 3: Cross multiply
    1,148.56x = 1,723.12 × 379.12
  4. Step 4: Simplify right side
    1,148.56x = 653,269.25
  5. Step 5: Solve for x
    x = 653,269.25/1,148.56
  6. Step 6: Final answer
    x = 568.77

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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.