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Finding the Fourth Proportional to 1,158.92, 1,738.39 and 293.23

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Solution

The fourth proportional to 1,158.92, 1,738.39 and 293.23 is: 439.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.92 : 1,738.39 = 293.23 : x
  2. Step 2: Convert to fraction form
    1,158.92/1,738.39 = 293.23/x
  3. Step 3: Cross multiply
    1,158.92x = 1,738.39 × 293.23
  4. Step 4: Simplify right side
    1,158.92x = 509,748.10
  5. Step 5: Solve for x
    x = 509,748.10/1,158.92
  6. Step 6: Final answer
    x = 439.85

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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.