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Finding the Fourth Proportional to 1,026.16, 1,540.26 and 540.23

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Solution

The fourth proportional to 1,026.16, 1,540.26 and 540.23 is: 810.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.16 : 1,540.26 = 540.23 : x
  2. Step 2: Convert to fraction form
    1,026.16/1,540.26 = 540.23/x
  3. Step 3: Cross multiply
    1,026.16x = 1,540.26 × 540.23
  4. Step 4: Simplify right side
    1,026.16x = 832,094.66
  5. Step 5: Solve for x
    x = 832,094.66/1,026.16
  6. Step 6: Final answer
    x = 810.88

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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.