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Finding the Fourth Proportional to 684.59, 1,022.09 and 575.24

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Solution

The fourth proportional to 684.59, 1,022.09 and 575.24 is: 858.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.59 : 1,022.09 = 575.24 : x
  2. Step 2: Convert to fraction form
    684.59/1,022.09 = 575.24/x
  3. Step 3: Cross multiply
    684.59x = 1,022.09 × 575.24
  4. Step 4: Simplify right side
    684.59x = 587,939.06
  5. Step 5: Solve for x
    x = 587,939.06/684.59
  6. Step 6: Final answer
    x = 858.83

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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.