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Finding the Fourth Proportional to 762.06, 1,142.06 and 739.89

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Solution

The fourth proportional to 762.06, 1,142.06 and 739.89 is: 1,108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.06 : 1,142.06 = 739.89 : x
  2. Step 2: Convert to fraction form
    762.06/1,142.06 = 739.89/x
  3. Step 3: Cross multiply
    762.06x = 1,142.06 × 739.89
  4. Step 4: Simplify right side
    762.06x = 844,995.07
  5. Step 5: Solve for x
    x = 844,995.07/762.06
  6. Step 6: Final answer
    x = 1,108.83

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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.