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Finding the Fourth Proportional to 479.78, 661.74 and 314.18

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Solution

The fourth proportional to 479.78, 661.74 and 314.18 is: 433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.78 : 661.74 = 314.18 : x
  2. Step 2: Convert to fraction form
    479.78/661.74 = 314.18/x
  3. Step 3: Cross multiply
    479.78x = 661.74 × 314.18
  4. Step 4: Simplify right side
    479.78x = 207,905.47
  5. Step 5: Solve for x
    x = 207,905.47/479.78
  6. Step 6: Final answer
    x = 433.34

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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.