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Finding the Fourth Proportional to 1,072.24, 1,601.80 and 856.06

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Solution

The fourth proportional to 1,072.24, 1,601.80 and 856.06 is: 1,278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.24 : 1,601.80 = 856.06 : x
  2. Step 2: Convert to fraction form
    1,072.24/1,601.80 = 856.06/x
  3. Step 3: Cross multiply
    1,072.24x = 1,601.80 × 856.06
  4. Step 4: Simplify right side
    1,072.24x = 1,371,236.91
  5. Step 5: Solve for x
    x = 1,371,236.91/1,072.24
  6. Step 6: Final answer
    x = 1,278.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.