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Finding the Fourth Proportional to 422.80, 591.20 and 422.80

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Solution

The fourth proportional to 422.80, 591.20 and 422.80 is: 591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.80 : 591.20 = 422.80 : x
  2. Step 2: Convert to fraction form
    422.80/591.20 = 422.80/x
  3. Step 3: Cross multiply
    422.80x = 591.20 × 422.80
  4. Step 4: Simplify right side
    422.80x = 249,959.36
  5. Step 5: Solve for x
    x = 249,959.36/422.80
  6. Step 6: Final answer
    x = 591.20

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.