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Finding the Fourth Proportional to 522.87, 784.30 and 176.21

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Solution

The fourth proportional to 522.87, 784.30 and 176.21 is: 264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.87 : 784.30 = 176.21 : x
  2. Step 2: Convert to fraction form
    522.87/784.30 = 176.21/x
  3. Step 3: Cross multiply
    522.87x = 784.30 × 176.21
  4. Step 4: Simplify right side
    522.87x = 138,201.50
  5. Step 5: Solve for x
    x = 138,201.50/522.87
  6. Step 6: Final answer
    x = 264.31

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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.