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Finding the Fourth Proportional to 491.23, 677.32 and 343.45

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Solution

The fourth proportional to 491.23, 677.32 and 343.45 is: 473.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.23 : 677.32 = 343.45 : x
  2. Step 2: Convert to fraction form
    491.23/677.32 = 343.45/x
  3. Step 3: Cross multiply
    491.23x = 677.32 × 343.45
  4. Step 4: Simplify right side
    491.23x = 232,625.55
  5. Step 5: Solve for x
    x = 232,625.55/491.23
  6. Step 6: Final answer
    x = 473.56

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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.