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Finding the Fourth Proportional to 1,125.50, 1,687.91 and 345.53

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Solution

The fourth proportional to 1,125.50, 1,687.91 and 345.53 is: 518.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.50 : 1,687.91 = 345.53 : x
  2. Step 2: Convert to fraction form
    1,125.50/1,687.91 = 345.53/x
  3. Step 3: Cross multiply
    1,125.50x = 1,687.91 × 345.53
  4. Step 4: Simplify right side
    1,125.50x = 583,226.03
  5. Step 5: Solve for x
    x = 583,226.03/1,125.50
  6. Step 6: Final answer
    x = 518.20

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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.