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Finding the Fourth Proportional to 422.19, 582.54 and 317.10

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Solution

The fourth proportional to 422.19, 582.54 and 317.10 is: 437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.19 : 582.54 = 317.10 : x
  2. Step 2: Convert to fraction form
    422.19/582.54 = 317.10/x
  3. Step 3: Cross multiply
    422.19x = 582.54 × 317.10
  4. Step 4: Simplify right side
    422.19x = 184,723.43
  5. Step 5: Solve for x
    x = 184,723.43/422.19
  6. Step 6: Final answer
    x = 437.54

Related Problems

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Double scale
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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.