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Finding the Fourth Proportional to 522.30, 782.78 and 467.15

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Solution

The fourth proportional to 522.30, 782.78 and 467.15 is: 700.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.30 : 782.78 = 467.15 : x
  2. Step 2: Convert to fraction form
    522.30/782.78 = 467.15/x
  3. Step 3: Cross multiply
    522.30x = 782.78 × 467.15
  4. Step 4: Simplify right side
    522.30x = 365,669.43
  5. Step 5: Solve for x
    x = 365,669.43/522.30
  6. Step 6: Final answer
    x = 700.11

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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.