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Finding the Fourth Proportional to 1,016.20, 1,523.40 and 906.85

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Solution

The fourth proportional to 1,016.20, 1,523.40 and 906.85 is: 1,359.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.20 : 1,523.40 = 906.85 : x
  2. Step 2: Convert to fraction form
    1,016.20/1,523.40 = 906.85/x
  3. Step 3: Cross multiply
    1,016.20x = 1,523.40 × 906.85
  4. Step 4: Simplify right side
    1,016.20x = 1,381,495.29
  5. Step 5: Solve for x
    x = 1,381,495.29/1,016.20
  6. Step 6: Final answer
    x = 1,359.47

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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.