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Finding the Fourth Proportional to 470.53, 648.69 and 313.17

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Solution

The fourth proportional to 470.53, 648.69 and 313.17 is: 431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.53 : 648.69 = 313.17 : x
  2. Step 2: Convert to fraction form
    470.53/648.69 = 313.17/x
  3. Step 3: Cross multiply
    470.53x = 648.69 × 313.17
  4. Step 4: Simplify right side
    470.53x = 203,146.64
  5. Step 5: Solve for x
    x = 203,146.64/470.53
  6. Step 6: Final answer
    x = 431.74

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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.