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Finding the Fourth Proportional to 480.05, 720.08 and 316.57

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Solution

The fourth proportional to 480.05, 720.08 and 316.57 is: 474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.05 : 720.08 = 316.57 : x
  2. Step 2: Convert to fraction form
    480.05/720.08 = 316.57/x
  3. Step 3: Cross multiply
    480.05x = 720.08 × 316.57
  4. Step 4: Simplify right side
    480.05x = 227,953.74
  5. Step 5: Solve for x
    x = 227,953.74/480.05
  6. Step 6: Final answer
    x = 474.85

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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.