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Finding the Fourth Proportional to 660.45, 910.86 and 495.05

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Solution

The fourth proportional to 660.45, 910.86 and 495.05 is: 682.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.45 : 910.86 = 495.05 : x
  2. Step 2: Convert to fraction form
    660.45/910.86 = 495.05/x
  3. Step 3: Cross multiply
    660.45x = 910.86 × 495.05
  4. Step 4: Simplify right side
    660.45x = 450,921.24
  5. Step 5: Solve for x
    x = 450,921.24/660.45
  6. Step 6: Final answer
    x = 682.75

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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.