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Finding the Fourth Proportional to 522.62, 783.94 and 132.62

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Solution

The fourth proportional to 522.62, 783.94 and 132.62 is: 198.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.62 : 783.94 = 132.62 : x
  2. Step 2: Convert to fraction form
    522.62/783.94 = 132.62/x
  3. Step 3: Cross multiply
    522.62x = 783.94 × 132.62
  4. Step 4: Simplify right side
    522.62x = 103,966.12
  5. Step 5: Solve for x
    x = 103,966.12/522.62
  6. Step 6: Final answer
    x = 198.93

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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.