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Finding the Fourth Proportional to 391.42, 584.06 and 389.14

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Solution

The fourth proportional to 391.42, 584.06 and 389.14 is: 580.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.42 : 584.06 = 389.14 : x
  2. Step 2: Convert to fraction form
    391.42/584.06 = 389.14/x
  3. Step 3: Cross multiply
    391.42x = 584.06 × 389.14
  4. Step 4: Simplify right side
    391.42x = 227,279.89
  5. Step 5: Solve for x
    x = 227,279.89/391.42
  6. Step 6: Final answer
    x = 580.66

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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.