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Finding the Fourth Proportional to 1,027.02, 1,540.50 and 410.54

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Solution

The fourth proportional to 1,027.02, 1,540.50 and 410.54 is: 615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.02 : 1,540.50 = 410.54 : x
  2. Step 2: Convert to fraction form
    1,027.02/1,540.50 = 410.54/x
  3. Step 3: Cross multiply
    1,027.02x = 1,540.50 × 410.54
  4. Step 4: Simplify right side
    1,027.02x = 632,436.87
  5. Step 5: Solve for x
    x = 632,436.87/1,027.02
  6. Step 6: Final answer
    x = 615.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.