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Finding the Fourth Proportional to 1,402.71, 2,104.16 and 581.05

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Solution

The fourth proportional to 1,402.71, 2,104.16 and 581.05 is: 871.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.71 : 2,104.16 = 581.05 : x
  2. Step 2: Convert to fraction form
    1,402.71/2,104.16 = 581.05/x
  3. Step 3: Cross multiply
    1,402.71x = 2,104.16 × 581.05
  4. Step 4: Simplify right side
    1,402.71x = 1,222,622.98
  5. Step 5: Solve for x
    x = 1,222,622.98/1,402.71
  6. Step 6: Final answer
    x = 871.61

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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.