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Finding the Fourth Proportional to 1,125.41, 1,552.79 and 683.30

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Solution

The fourth proportional to 1,125.41, 1,552.79 and 683.30 is: 942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.41 : 1,552.79 = 683.30 : x
  2. Step 2: Convert to fraction form
    1,125.41/1,552.79 = 683.30/x
  3. Step 3: Cross multiply
    1,125.41x = 1,552.79 × 683.30
  4. Step 4: Simplify right side
    1,125.41x = 1,061,010.23
  5. Step 5: Solve for x
    x = 1,061,010.23/1,125.41
  6. Step 6: Final answer
    x = 942.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.