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Finding the Fourth Proportional to 1,066.44, 1,470.12 and 734.28

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Solution

The fourth proportional to 1,066.44, 1,470.12 and 734.28 is: 1,012.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.44 : 1,470.12 = 734.28 : x
  2. Step 2: Convert to fraction form
    1,066.44/1,470.12 = 734.28/x
  3. Step 3: Cross multiply
    1,066.44x = 1,470.12 × 734.28
  4. Step 4: Simplify right side
    1,066.44x = 1,079,479.71
  5. Step 5: Solve for x
    x = 1,079,479.71/1,066.44
  6. Step 6: Final answer
    x = 1,012.23

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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.