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Finding the Fourth Proportional to 869.10, 1,199.82 and 590.82

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Solution

The fourth proportional to 869.10, 1,199.82 and 590.82 is: 815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.10 : 1,199.82 = 590.82 : x
  2. Step 2: Convert to fraction form
    869.10/1,199.82 = 590.82/x
  3. Step 3: Cross multiply
    869.10x = 1,199.82 × 590.82
  4. Step 4: Simplify right side
    869.10x = 708,877.65
  5. Step 5: Solve for x
    x = 708,877.65/869.10
  6. Step 6: Final answer
    x = 815.65

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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.