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Finding the Fourth Proportional to 749.42, 1,027.06 and 739.76

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Solution

The fourth proportional to 749.42, 1,027.06 and 739.76 is: 1,013.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.42 : 1,027.06 = 739.76 : x
  2. Step 2: Convert to fraction form
    749.42/1,027.06 = 739.76/x
  3. Step 3: Cross multiply
    749.42x = 1,027.06 × 739.76
  4. Step 4: Simplify right side
    749.42x = 759,777.91
  5. Step 5: Solve for x
    x = 759,777.91/749.42
  6. Step 6: Final answer
    x = 1,013.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.