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Finding the Fourth Proportional to 1,352.06, 1,865.85 and 731.06

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Solution

The fourth proportional to 1,352.06, 1,865.85 and 731.06 is: 1,008.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.06 : 1,865.85 = 731.06 : x
  2. Step 2: Convert to fraction form
    1,352.06/1,865.85 = 731.06/x
  3. Step 3: Cross multiply
    1,352.06x = 1,865.85 × 731.06
  4. Step 4: Simplify right side
    1,352.06x = 1,364,051.14
  5. Step 5: Solve for x
    x = 1,364,051.14/1,352.06
  6. Step 6: Final answer
    x = 1,008.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.