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Finding the Fourth Proportional to 1,470.02, 2,027.42 and 880.50

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Solution

The fourth proportional to 1,470.02, 2,027.42 and 880.50 is: 1,214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.02 : 2,027.42 = 880.50 : x
  2. Step 2: Convert to fraction form
    1,470.02/2,027.42 = 880.50/x
  3. Step 3: Cross multiply
    1,470.02x = 2,027.42 × 880.50
  4. Step 4: Simplify right side
    1,470.02x = 1,785,143.31
  5. Step 5: Solve for x
    x = 1,785,143.31/1,470.02
  6. Step 6: Final answer
    x = 1,214.37

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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.