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Finding the Fourth Proportional to 1,026.98, 1,540.50 and 411.02

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Solution

The fourth proportional to 1,026.98, 1,540.50 and 411.02 is: 616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.98 : 1,540.50 = 411.02 : x
  2. Step 2: Convert to fraction form
    1,026.98/1,540.50 = 411.02/x
  3. Step 3: Cross multiply
    1,026.98x = 1,540.50 × 411.02
  4. Step 4: Simplify right side
    1,026.98x = 633,176.31
  5. Step 5: Solve for x
    x = 633,176.31/1,026.98
  6. Step 6: Final answer
    x = 616.54

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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.