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Finding the Fourth Proportional to 522.75, 781.95 and 464.23

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Solution

The fourth proportional to 522.75, 781.95 and 464.23 is: 694.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.75 : 781.95 = 464.23 : x
  2. Step 2: Convert to fraction form
    522.75/781.95 = 464.23/x
  3. Step 3: Cross multiply
    522.75x = 781.95 × 464.23
  4. Step 4: Simplify right side
    522.75x = 363,007.37
  5. Step 5: Solve for x
    x = 363,007.37/522.75
  6. Step 6: Final answer
    x = 694.41

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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.