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Finding the Fourth Proportional to 491.74, 678.42 and 344.32

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Solution

The fourth proportional to 491.74, 678.42 and 344.32 is: 475.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.74 : 678.42 = 344.32 : x
  2. Step 2: Convert to fraction form
    491.74/678.42 = 344.32/x
  3. Step 3: Cross multiply
    491.74x = 678.42 × 344.32
  4. Step 4: Simplify right side
    491.74x = 233,593.57
  5. Step 5: Solve for x
    x = 233,593.57/491.74
  6. Step 6: Final answer
    x = 475.03

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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.