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Finding the Fourth Proportional to 522, 782.46 and 316.62

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Solution

The fourth proportional to 522, 782.46 and 316.62 is: 474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    522 : 782.46 = 316.62 : x
  2. Step 2: Convert to fraction form
    522/782.46 = 316.62/x
  3. Step 3: Cross multiply
    522x = 782.46 × 316.62
  4. Step 4: Simplify right side
    522x = 247,742.49
  5. Step 5: Solve for x
    x = 247,742.49/522
  6. Step 6: Final answer
    x = 474.60

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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.