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Finding the Fourth Proportional to 470.79, 706.14 and 316.80

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Solution

The fourth proportional to 470.79, 706.14 and 316.80 is: 475.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.79 : 706.14 = 316.80 : x
  2. Step 2: Convert to fraction form
    470.79/706.14 = 316.80/x
  3. Step 3: Cross multiply
    470.79x = 706.14 × 316.80
  4. Step 4: Simplify right side
    470.79x = 223,705.15
  5. Step 5: Solve for x
    x = 223,705.15/470.79
  6. Step 6: Final answer
    x = 475.17

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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.