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Finding the Fourth Proportional to 1,470.10, 2,028.90 and 880.78

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Solution

The fourth proportional to 1,470.10, 2,028.90 and 880.78 is: 1,215.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.10 : 2,028.90 = 880.78 : x
  2. Step 2: Convert to fraction form
    1,470.10/2,028.90 = 880.78/x
  3. Step 3: Cross multiply
    1,470.10x = 2,028.90 × 880.78
  4. Step 4: Simplify right side
    1,470.10x = 1,787,014.54
  5. Step 5: Solve for x
    x = 1,787,014.54/1,470.10
  6. Step 6: Final answer
    x = 1,215.57

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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.