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Finding the Fourth Proportional to 391.41, 591.56 and 384.69

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Solution

The fourth proportional to 391.41, 591.56 and 384.69 is: 581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.41 : 591.56 = 384.69 : x
  2. Step 2: Convert to fraction form
    391.41/591.56 = 384.69/x
  3. Step 3: Cross multiply
    391.41x = 591.56 × 384.69
  4. Step 4: Simplify right side
    391.41x = 227,565.29
  5. Step 5: Solve for x
    x = 227,565.29/391.41
  6. Step 6: Final answer
    x = 581.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.