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Finding the Fourth Proportional to 480.18, 719.66 and 284.78

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Solution

The fourth proportional to 480.18, 719.66 and 284.78 is: 426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.18 : 719.66 = 284.78 : x
  2. Step 2: Convert to fraction form
    480.18/719.66 = 284.78/x
  3. Step 3: Cross multiply
    480.18x = 719.66 × 284.78
  4. Step 4: Simplify right side
    480.18x = 204,944.77
  5. Step 5: Solve for x
    x = 204,944.77/480.18
  6. Step 6: Final answer
    x = 426.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.