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Finding the Fourth Proportional to 522.80, 784.29 and 176.17

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Solution

The fourth proportional to 522.80, 784.29 and 176.17 is: 264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.80 : 784.29 = 176.17 : x
  2. Step 2: Convert to fraction form
    522.80/784.29 = 176.17/x
  3. Step 3: Cross multiply
    522.80x = 784.29 × 176.17
  4. Step 4: Simplify right side
    522.80x = 138,163.57
  5. Step 5: Solve for x
    x = 138,163.57/522.80
  6. Step 6: Final answer
    x = 264.28

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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.