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Finding the Fourth Proportional to 749.96, 1,119.74 and 742.56

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Solution

The fourth proportional to 749.96, 1,119.74 and 742.56 is: 1,108.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.96 : 1,119.74 = 742.56 : x
  2. Step 2: Convert to fraction form
    749.96/1,119.74 = 742.56/x
  3. Step 3: Cross multiply
    749.96x = 1,119.74 × 742.56
  4. Step 4: Simplify right side
    749.96x = 831,474.13
  5. Step 5: Solve for x
    x = 831,474.13/749.96
  6. Step 6: Final answer
    x = 1,108.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.