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Finding the Fourth Proportional to 1,471.76, 2,209.26 and 856.16

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Solution

The fourth proportional to 1,471.76, 2,209.26 and 856.16 is: 1,285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.76 : 2,209.26 = 856.16 : x
  2. Step 2: Convert to fraction form
    1,471.76/2,209.26 = 856.16/x
  3. Step 3: Cross multiply
    1,471.76x = 2,209.26 × 856.16
  4. Step 4: Simplify right side
    1,471.76x = 1,891,480.04
  5. Step 5: Solve for x
    x = 1,891,480.04/1,471.76
  6. Step 6: Final answer
    x = 1,285.18

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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.