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Finding the Fourth Proportional to 470.02, 648.50 and 314.76

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Solution

The fourth proportional to 470.02, 648.50 and 314.76 is: 434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.02 : 648.50 = 314.76 : x
  2. Step 2: Convert to fraction form
    470.02/648.50 = 314.76/x
  3. Step 3: Cross multiply
    470.02x = 648.50 × 314.76
  4. Step 4: Simplify right side
    470.02x = 204,121.86
  5. Step 5: Solve for x
    x = 204,121.86/470.02
  6. Step 6: Final answer
    x = 434.28

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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.