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Finding the Fourth Proportional to 858.23, 1,183.25 and 700.71

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Solution

The fourth proportional to 858.23, 1,183.25 and 700.71 is: 966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.23 : 1,183.25 = 700.71 : x
  2. Step 2: Convert to fraction form
    858.23/1,183.25 = 700.71/x
  3. Step 3: Cross multiply
    858.23x = 1,183.25 × 700.71
  4. Step 4: Simplify right side
    858.23x = 829,115.11
  5. Step 5: Solve for x
    x = 829,115.11/858.23
  6. Step 6: Final answer
    x = 966.08

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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.