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Finding the Fourth Proportional to 491.07, 677.85 and 333.90

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Solution

The fourth proportional to 491.07, 677.85 and 333.90 is: 460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.07 : 677.85 = 333.90 : x
  2. Step 2: Convert to fraction form
    491.07/677.85 = 333.90/x
  3. Step 3: Cross multiply
    491.07x = 677.85 × 333.90
  4. Step 4: Simplify right side
    491.07x = 226,334.12
  5. Step 5: Solve for x
    x = 226,334.12/491.07
  6. Step 6: Final answer
    x = 460.90

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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.