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Finding the Fourth Proportional to 581.21, 871.49 and 347.18

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Solution

The fourth proportional to 581.21, 871.49 and 347.18 is: 520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.21 : 871.49 = 347.18 : x
  2. Step 2: Convert to fraction form
    581.21/871.49 = 347.18/x
  3. Step 3: Cross multiply
    581.21x = 871.49 × 347.18
  4. Step 4: Simplify right side
    581.21x = 302,557.80
  5. Step 5: Solve for x
    x = 302,557.80/581.21
  6. Step 6: Final answer
    x = 520.57

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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.