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Finding the Fourth Proportional to 1,008.33, 1,512.57 and 350.18

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Solution

The fourth proportional to 1,008.33, 1,512.57 and 350.18 is: 525.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.33 : 1,512.57 = 350.18 : x
  2. Step 2: Convert to fraction form
    1,008.33/1,512.57 = 350.18/x
  3. Step 3: Cross multiply
    1,008.33x = 1,512.57 × 350.18
  4. Step 4: Simplify right side
    1,008.33x = 529,664.20
  5. Step 5: Solve for x
    x = 529,664.20/1,008.33
  6. Step 6: Final answer
    x = 525.29

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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.