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Finding the Fourth Proportional to 749.78, 1,125.72 and 518.10

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Solution

The fourth proportional to 749.78, 1,125.72 and 518.10 is: 777.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.78 : 1,125.72 = 518.10 : x
  2. Step 2: Convert to fraction form
    749.78/1,125.72 = 518.10/x
  3. Step 3: Cross multiply
    749.78x = 1,125.72 × 518.10
  4. Step 4: Simplify right side
    749.78x = 583,235.53
  5. Step 5: Solve for x
    x = 583,235.53/749.78
  6. Step 6: Final answer
    x = 777.88

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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.