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Finding the Fourth Proportional to 581.62, 871.37 and 386.15

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Solution

The fourth proportional to 581.62, 871.37 and 386.15 is: 578.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.62 : 871.37 = 386.15 : x
  2. Step 2: Convert to fraction form
    581.62/871.37 = 386.15/x
  3. Step 3: Cross multiply
    581.62x = 871.37 × 386.15
  4. Step 4: Simplify right side
    581.62x = 336,479.53
  5. Step 5: Solve for x
    x = 336,479.53/581.62
  6. Step 6: Final answer
    x = 578.52

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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.