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Finding the Fourth Proportional to 1,028.15, 1,543.13 and 541.53

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Solution

The fourth proportional to 1,028.15, 1,543.13 and 541.53 is: 812.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.15 : 1,543.13 = 541.53 : x
  2. Step 2: Convert to fraction form
    1,028.15/1,543.13 = 541.53/x
  3. Step 3: Cross multiply
    1,028.15x = 1,543.13 × 541.53
  4. Step 4: Simplify right side
    1,028.15x = 835,648.48
  5. Step 5: Solve for x
    x = 835,648.48/1,028.15
  6. Step 6: Final answer
    x = 812.77

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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.