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Finding the Fourth Proportional to 480.23, 720.58 and 317.87

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Solution

The fourth proportional to 480.23, 720.58 and 317.87 is: 476.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.23 : 720.58 = 317.87 : x
  2. Step 2: Convert to fraction form
    480.23/720.58 = 317.87/x
  3. Step 3: Cross multiply
    480.23x = 720.58 × 317.87
  4. Step 4: Simplify right side
    480.23x = 229,046.37
  5. Step 5: Solve for x
    x = 229,046.37/480.23
  6. Step 6: Final answer
    x = 476.96

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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.