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Finding the Fourth Proportional to 470.79, 648.67 and 315.27

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Solution

The fourth proportional to 470.79, 648.67 and 315.27 is: 434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.79 : 648.67 = 315.27 : x
  2. Step 2: Convert to fraction form
    470.79/648.67 = 315.27/x
  3. Step 3: Cross multiply
    470.79x = 648.67 × 315.27
  4. Step 4: Simplify right side
    470.79x = 204,506.19
  5. Step 5: Solve for x
    x = 204,506.19/470.79
  6. Step 6: Final answer
    x = 434.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.