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Finding the Fourth Proportional to 522.30, 782.40 and 326.70

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Solution

The fourth proportional to 522.30, 782.40 and 326.70 is: 489.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.30 : 782.40 = 326.70 : x
  2. Step 2: Convert to fraction form
    522.30/782.40 = 326.70/x
  3. Step 3: Cross multiply
    522.30x = 782.40 × 326.70
  4. Step 4: Simplify right side
    522.30x = 255,610.08
  5. Step 5: Solve for x
    x = 255,610.08/522.30
  6. Step 6: Final answer
    x = 489.39

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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.