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Finding the Fourth Proportional to 440.16, 603.96 and 422.88

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Solution

The fourth proportional to 440.16, 603.96 and 422.88 is: 580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.16 : 603.96 = 422.88 : x
  2. Step 2: Convert to fraction form
    440.16/603.96 = 422.88/x
  3. Step 3: Cross multiply
    440.16x = 603.96 × 422.88
  4. Step 4: Simplify right side
    440.16x = 255,402.60
  5. Step 5: Solve for x
    x = 255,402.60/440.16
  6. Step 6: Final answer
    x = 580.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.