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Finding the Fourth Proportional to 1,026.70, 1,540.00 and 410.24

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Solution

The fourth proportional to 1,026.70, 1,540.00 and 410.24 is: 615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.70 : 1,540.00 = 410.24 : x
  2. Step 2: Convert to fraction form
    1,026.70/1,540.00 = 410.24/x
  3. Step 3: Cross multiply
    1,026.70x = 1,540.00 × 410.24
  4. Step 4: Simplify right side
    1,026.70x = 631,760.87
  5. Step 5: Solve for x
    x = 631,760.87/1,026.70
  6. Step 6: Final answer
    x = 615.33

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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.