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Finding the Fourth Proportional to 440.42, 603.91 and 424.96

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Solution

The fourth proportional to 440.42, 603.91 and 424.96 is: 582.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.42 : 603.91 = 424.96 : x
  2. Step 2: Convert to fraction form
    440.42/603.91 = 424.96/x
  3. Step 3: Cross multiply
    440.42x = 603.91 × 424.96
  4. Step 4: Simplify right side
    440.42x = 256,636.62
  5. Step 5: Solve for x
    x = 256,636.62/440.42
  6. Step 6: Final answer
    x = 582.72

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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.