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Finding the Fourth Proportional to 1,026.94, 1,540.84 and 540.30

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Solution

The fourth proportional to 1,026.94, 1,540.84 and 540.30 is: 810.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.94 : 1,540.84 = 540.30 : x
  2. Step 2: Convert to fraction form
    1,026.94/1,540.84 = 540.30/x
  3. Step 3: Cross multiply
    1,026.94x = 1,540.84 × 540.30
  4. Step 4: Simplify right side
    1,026.94x = 832,515.85
  5. Step 5: Solve for x
    x = 832,515.85/1,026.94
  6. Step 6: Final answer
    x = 810.68

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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.