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Finding the Fourth Proportional to 852.87, 1,177.40 and 590.43

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Solution

The fourth proportional to 852.87, 1,177.40 and 590.43 is: 815.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.87 : 1,177.40 = 590.43 : x
  2. Step 2: Convert to fraction form
    852.87/1,177.40 = 590.43/x
  3. Step 3: Cross multiply
    852.87x = 1,177.40 × 590.43
  4. Step 4: Simplify right side
    852.87x = 695,169.33
  5. Step 5: Solve for x
    x = 695,169.33/852.87
  6. Step 6: Final answer
    x = 815.09

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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.