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Finding the Fourth Proportional to 491.17, 677.68 and 359.95

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Solution

The fourth proportional to 491.17, 677.68 and 359.95 is: 496.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.17 : 677.68 = 359.95 : x
  2. Step 2: Convert to fraction form
    491.17/677.68 = 359.95/x
  3. Step 3: Cross multiply
    491.17x = 677.68 × 359.95
  4. Step 4: Simplify right side
    491.17x = 243,930.92
  5. Step 5: Solve for x
    x = 243,930.92/491.17
  6. Step 6: Final answer
    x = 496.63

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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.