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Finding the Fourth Proportional to 522.50, 782.85 and 316.43

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Solution

The fourth proportional to 522.50, 782.85 and 316.43 is: 474.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.50 : 782.85 = 316.43 : x
  2. Step 2: Convert to fraction form
    522.50/782.85 = 316.43/x
  3. Step 3: Cross multiply
    522.50x = 782.85 × 316.43
  4. Step 4: Simplify right side
    522.50x = 247,713.31
  5. Step 5: Solve for x
    x = 247,713.31/522.50
  6. Step 6: Final answer
    x = 474.10

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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.