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Finding the Fourth Proportional to 660.15, 910.71 and 494.37

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Solution

The fourth proportional to 660.15, 910.71 and 494.37 is: 682.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.15 : 910.71 = 494.37 : x
  2. Step 2: Convert to fraction form
    660.15/910.71 = 494.37/x
  3. Step 3: Cross multiply
    660.15x = 910.71 × 494.37
  4. Step 4: Simplify right side
    660.15x = 450,227.70
  5. Step 5: Solve for x
    x = 450,227.70/660.15
  6. Step 6: Final answer
    x = 682.01

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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.