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Finding the Fourth Proportional to 479.76, 660.24 and 424.68

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Solution

The fourth proportional to 479.76, 660.24 and 424.68 is: 584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.76 : 660.24 = 424.68 : x
  2. Step 2: Convert to fraction form
    479.76/660.24 = 424.68/x
  3. Step 3: Cross multiply
    479.76x = 660.24 × 424.68
  4. Step 4: Simplify right side
    479.76x = 280,390.72
  5. Step 5: Solve for x
    x = 280,390.72/479.76
  6. Step 6: Final answer
    x = 584.44

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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.