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Finding the Fourth Proportional to 522.17, 782.58 and 247.88

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Solution

The fourth proportional to 522.17, 782.58 and 247.88 is: 371.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.17 : 782.58 = 247.88 : x
  2. Step 2: Convert to fraction form
    522.17/782.58 = 247.88/x
  3. Step 3: Cross multiply
    522.17x = 782.58 × 247.88
  4. Step 4: Simplify right side
    522.17x = 193,987.42
  5. Step 5: Solve for x
    x = 193,987.42/522.17
  6. Step 6: Final answer
    x = 371.50

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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.