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Finding the Fourth Proportional to 1,065.12, 1,589.92 and 984.92

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Solution

The fourth proportional to 1,065.12, 1,589.92 and 984.92 is: 1,470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.12 : 1,589.92 = 984.92 : x
  2. Step 2: Convert to fraction form
    1,065.12/1,589.92 = 984.92/x
  3. Step 3: Cross multiply
    1,065.12x = 1,589.92 × 984.92
  4. Step 4: Simplify right side
    1,065.12x = 1,565,944.01
  5. Step 5: Solve for x
    x = 1,565,944.01/1,065.12
  6. Step 6: Final answer
    x = 1,470.20

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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.