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Finding the Fourth Proportional to 1,026.98, 1,540.50 and 377.72

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Solution

The fourth proportional to 1,026.98, 1,540.50 and 377.72 is: 566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.98 : 1,540.50 = 377.72 : x
  2. Step 2: Convert to fraction form
    1,026.98/1,540.50 = 377.72/x
  3. Step 3: Cross multiply
    1,026.98x = 1,540.50 × 377.72
  4. Step 4: Simplify right side
    1,026.98x = 581,876.44
  5. Step 5: Solve for x
    x = 581,876.44/1,026.98
  6. Step 6: Final answer
    x = 566.59

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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.