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Finding the Fourth Proportional to 522.91, 784.72 and 180.91

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Solution

The fourth proportional to 522.91, 784.72 and 180.91 is: 271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.91 : 784.72 = 180.91 : x
  2. Step 2: Convert to fraction form
    522.91/784.72 = 180.91/x
  3. Step 3: Cross multiply
    522.91x = 784.72 × 180.91
  4. Step 4: Simplify right side
    522.91x = 141,961.73
  5. Step 5: Solve for x
    x = 141,961.73/522.91
  6. Step 6: Final answer
    x = 271.49

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Double scale
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Similar ratio
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1.5x scale

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.