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Finding the Fourth Proportional to 591.45, 886.37 and 385.71

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Solution

The fourth proportional to 591.45, 886.37 and 385.71 is: 578.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.45 : 886.37 = 385.71 : x
  2. Step 2: Convert to fraction form
    591.45/886.37 = 385.71/x
  3. Step 3: Cross multiply
    591.45x = 886.37 × 385.71
  4. Step 4: Simplify right side
    591.45x = 341,879.84
  5. Step 5: Solve for x
    x = 341,879.84/591.45
  6. Step 6: Final answer
    x = 578.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.