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Finding the Fourth Proportional to 1,065.69, 1,470.56 and 672.71

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Solution

The fourth proportional to 1,065.69, 1,470.56 and 672.71 is: 928.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.69 : 1,470.56 = 672.71 : x
  2. Step 2: Convert to fraction form
    1,065.69/1,470.56 = 672.71/x
  3. Step 3: Cross multiply
    1,065.69x = 1,470.56 × 672.71
  4. Step 4: Simplify right side
    1,065.69x = 989,249.70
  5. Step 5: Solve for x
    x = 989,249.70/1,065.69
  6. Step 6: Final answer
    x = 928.27

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1.5x scale

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.