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Finding the Fourth Proportional to 858.18, 1,183.06 and 739.78

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Solution

The fourth proportional to 858.18, 1,183.06 and 739.78 is: 1,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.18 : 1,183.06 = 739.78 : x
  2. Step 2: Convert to fraction form
    858.18/1,183.06 = 739.78/x
  3. Step 3: Cross multiply
    858.18x = 1,183.06 × 739.78
  4. Step 4: Simplify right side
    858.18x = 875,204.13
  5. Step 5: Solve for x
    x = 875,204.13/858.18
  6. Step 6: Final answer
    x = 1,019.84

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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.