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Finding the Fourth Proportional to 1,125.08, 1,687.53 and 345.08

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Solution

The fourth proportional to 1,125.08, 1,687.53 and 345.08 is: 517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.08 : 1,687.53 = 345.08 : x
  2. Step 2: Convert to fraction form
    1,125.08/1,687.53 = 345.08/x
  3. Step 3: Cross multiply
    1,125.08x = 1,687.53 × 345.08
  4. Step 4: Simplify right side
    1,125.08x = 582,338.37
  5. Step 5: Solve for x
    x = 582,338.37/1,125.08
  6. Step 6: Final answer
    x = 517.60

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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.