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Finding the Fourth Proportional to 624.23, 935.17 and 522.17

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Solution

The fourth proportional to 624.23, 935.17 and 522.17 is: 782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.23 : 935.17 = 522.17 : x
  2. Step 2: Convert to fraction form
    624.23/935.17 = 522.17/x
  3. Step 3: Cross multiply
    624.23x = 935.17 × 522.17
  4. Step 4: Simplify right side
    624.23x = 488,311.74
  5. Step 5: Solve for x
    x = 488,311.74/624.23
  6. Step 6: Final answer
    x = 782.27

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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.