Home / 1,471.08-2,207.70-581.76

Finding the Fourth Proportional to 1,471.08, 2,207.70 and 581.76

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Solution

The fourth proportional to 1,471.08, 2,207.70 and 581.76 is: 873.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.08 : 2,207.70 = 581.76 : x
  2. Step 2: Convert to fraction form
    1,471.08/2,207.70 = 581.76/x
  3. Step 3: Cross multiply
    1,471.08x = 2,207.70 × 581.76
  4. Step 4: Simplify right side
    1,471.08x = 1,284,351.55
  5. Step 5: Solve for x
    x = 1,284,351.55/1,471.08
  6. Step 6: Final answer
    x = 873.07

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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.