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Finding the Fourth Proportional to 479.23, 661.46 and 313.17

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Solution

The fourth proportional to 479.23, 661.46 and 313.17 is: 432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.23 : 661.46 = 313.17 : x
  2. Step 2: Convert to fraction form
    479.23/661.46 = 313.17/x
  3. Step 3: Cross multiply
    479.23x = 661.46 × 313.17
  4. Step 4: Simplify right side
    479.23x = 207,149.43
  5. Step 5: Solve for x
    x = 207,149.43/479.23
  6. Step 6: Final answer
    x = 432.25

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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.