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Finding the Fourth Proportional to 522.18, 781.89 and 383.67

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Solution

The fourth proportional to 522.18, 781.89 and 383.67 is: 574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.18 : 781.89 = 383.67 : x
  2. Step 2: Convert to fraction form
    522.18/781.89 = 383.67/x
  3. Step 3: Cross multiply
    522.18x = 781.89 × 383.67
  4. Step 4: Simplify right side
    522.18x = 299,987.74
  5. Step 5: Solve for x
    x = 299,987.74/522.18
  6. Step 6: Final answer
    x = 574.49

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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.