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Finding the Fourth Proportional to 877.42, 1,211.86 and 582.18

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Solution

The fourth proportional to 877.42, 1,211.86 and 582.18 is: 804.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.42 : 1,211.86 = 582.18 : x
  2. Step 2: Convert to fraction form
    877.42/1,211.86 = 582.18/x
  3. Step 3: Cross multiply
    877.42x = 1,211.86 × 582.18
  4. Step 4: Simplify right side
    877.42x = 705,520.65
  5. Step 5: Solve for x
    x = 705,520.65/877.42
  6. Step 6: Final answer
    x = 804.09

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1.5x scale

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.