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Finding the Fourth Proportional to 1,028.74, 1,543.23 and 335.23

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Solution

The fourth proportional to 1,028.74, 1,543.23 and 335.23 is: 502.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.74 : 1,543.23 = 335.23 : x
  2. Step 2: Convert to fraction form
    1,028.74/1,543.23 = 335.23/x
  3. Step 3: Cross multiply
    1,028.74x = 1,543.23 × 335.23
  4. Step 4: Simplify right side
    1,028.74x = 517,336.99
  5. Step 5: Solve for x
    x = 517,336.99/1,028.74
  6. Step 6: Final answer
    x = 502.88

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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.