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Finding the Fourth Proportional to 521.90, 719.78 and 422.27

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Solution

The fourth proportional to 521.90, 719.78 and 422.27 is: 582.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.90 : 719.78 = 422.27 : x
  2. Step 2: Convert to fraction form
    521.90/719.78 = 422.27/x
  3. Step 3: Cross multiply
    521.90x = 719.78 × 422.27
  4. Step 4: Simplify right side
    521.90x = 303,941.50
  5. Step 5: Solve for x
    x = 303,941.50/521.90
  6. Step 6: Final answer
    x = 582.37

Related Problems

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.