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Finding the Fourth Proportional to 1,065.20, 1,469.52 and 671.56

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Solution

The fourth proportional to 1,065.20, 1,469.52 and 671.56 is: 926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.20 : 1,469.52 = 671.56 : x
  2. Step 2: Convert to fraction form
    1,065.20/1,469.52 = 671.56/x
  3. Step 3: Cross multiply
    1,065.20x = 1,469.52 × 671.56
  4. Step 4: Simplify right side
    1,065.20x = 986,870.85
  5. Step 5: Solve for x
    x = 986,870.85/1,065.20
  6. Step 6: Final answer
    x = 926.47

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Why These Related Problems?

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