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Finding the Fourth Proportional to 480.32, 719.80 and 285.41

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Solution

The fourth proportional to 480.32, 719.80 and 285.41 is: 427.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.32 : 719.80 = 285.41 : x
  2. Step 2: Convert to fraction form
    480.32/719.80 = 285.41/x
  3. Step 3: Cross multiply
    480.32x = 719.80 × 285.41
  4. Step 4: Simplify right side
    480.32x = 205,438.12
  5. Step 5: Solve for x
    x = 205,438.12/480.32
  6. Step 6: Final answer
    x = 427.71

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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.