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Finding the Fourth Proportional to 470.49, 704.34 and 316.02

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Solution

The fourth proportional to 470.49, 704.34 and 316.02 is: 473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.49 : 704.34 = 316.02 : x
  2. Step 2: Convert to fraction form
    470.49/704.34 = 316.02/x
  3. Step 3: Cross multiply
    470.49x = 704.34 × 316.02
  4. Step 4: Simplify right side
    470.49x = 222,585.53
  5. Step 5: Solve for x
    x = 222,585.53/470.49
  6. Step 6: Final answer
    x = 473.09

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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.