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Finding the Fourth Proportional to 680.70, 1,018.17 and 496.02

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Solution

The fourth proportional to 680.70, 1,018.17 and 496.02 is: 741.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.70 : 1,018.17 = 496.02 : x
  2. Step 2: Convert to fraction form
    680.70/1,018.17 = 496.02/x
  3. Step 3: Cross multiply
    680.70x = 1,018.17 × 496.02
  4. Step 4: Simplify right side
    680.70x = 505,032.68
  5. Step 5: Solve for x
    x = 505,032.68/680.70
  6. Step 6: Final answer
    x = 741.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.