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Finding the Fourth Proportional to 1,474.66, 2,209.05 and 856.54

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Solution

The fourth proportional to 1,474.66, 2,209.05 and 856.54 is: 1,283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.66 : 2,209.05 = 856.54 : x
  2. Step 2: Convert to fraction form
    1,474.66/2,209.05 = 856.54/x
  3. Step 3: Cross multiply
    1,474.66x = 2,209.05 × 856.54
  4. Step 4: Simplify right side
    1,474.66x = 1,892,139.69
  5. Step 5: Solve for x
    x = 1,892,139.69/1,474.66
  6. Step 6: Final answer
    x = 1,283.10

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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.