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Finding the Fourth Proportional to 468.79, 645.91 and 313.27

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Solution

The fourth proportional to 468.79, 645.91 and 313.27 is: 431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.79 : 645.91 = 313.27 : x
  2. Step 2: Convert to fraction form
    468.79/645.91 = 313.27/x
  3. Step 3: Cross multiply
    468.79x = 645.91 × 313.27
  4. Step 4: Simplify right side
    468.79x = 202,344.23
  5. Step 5: Solve for x
    x = 202,344.23/468.79
  6. Step 6: Final answer
    x = 431.63

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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.