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Finding the Fourth Proportional to 1,125.06, 1,687.43 and 355.54

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Solution

The fourth proportional to 1,125.06, 1,687.43 and 355.54 is: 533.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.06 : 1,687.43 = 355.54 : x
  2. Step 2: Convert to fraction form
    1,125.06/1,687.43 = 355.54/x
  3. Step 3: Cross multiply
    1,125.06x = 1,687.43 × 355.54
  4. Step 4: Simplify right side
    1,125.06x = 599,948.86
  5. Step 5: Solve for x
    x = 599,948.86/1,125.06
  6. Step 6: Final answer
    x = 533.26

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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.