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Finding the Fourth Proportional to 1,027.78, 1,532.42 and 1,009.32

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Solution

The fourth proportional to 1,027.78, 1,532.42 and 1,009.32 is: 1,504.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.78 : 1,532.42 = 1,009.32 : x
  2. Step 2: Convert to fraction form
    1,027.78/1,532.42 = 1,009.32/x
  3. Step 3: Cross multiply
    1,027.78x = 1,532.42 × 1,009.32
  4. Step 4: Simplify right side
    1,027.78x = 1,546,702.15
  5. Step 5: Solve for x
    x = 1,546,702.15/1,027.78
  6. Step 6: Final answer
    x = 1,504.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.