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Finding the Fourth Proportional to 1,065.60, 1,470.96 and 672.84

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Solution

The fourth proportional to 1,065.60, 1,470.96 and 672.84 is: 928.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.60 : 1,470.96 = 672.84 : x
  2. Step 2: Convert to fraction form
    1,065.60/1,470.96 = 672.84/x
  3. Step 3: Cross multiply
    1,065.60x = 1,470.96 × 672.84
  4. Step 4: Simplify right side
    1,065.60x = 989,720.73
  5. Step 5: Solve for x
    x = 989,720.73/1,065.60
  6. Step 6: Final answer
    x = 928.79

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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.