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Finding the Fourth Proportional to 480.51, 720.46 and 315.79

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Solution

The fourth proportional to 480.51, 720.46 and 315.79 is: 473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.51 : 720.46 = 315.79 : x
  2. Step 2: Convert to fraction form
    480.51/720.46 = 315.79/x
  3. Step 3: Cross multiply
    480.51x = 720.46 × 315.79
  4. Step 4: Simplify right side
    480.51x = 227,514.06
  5. Step 5: Solve for x
    x = 227,514.06/480.51
  6. Step 6: Final answer
    x = 473.48

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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.