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Finding the Fourth Proportional to 1,125.22, 1,687.97 and 384.97

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Solution

The fourth proportional to 1,125.22, 1,687.97 and 384.97 is: 577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.22 : 1,687.97 = 384.97 : x
  2. Step 2: Convert to fraction form
    1,125.22/1,687.97 = 384.97/x
  3. Step 3: Cross multiply
    1,125.22x = 1,687.97 × 384.97
  4. Step 4: Simplify right side
    1,125.22x = 649,817.81
  5. Step 5: Solve for x
    x = 649,817.81/1,125.22
  6. Step 6: Final answer
    x = 577.50

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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.