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Finding the Fourth Proportional to 660.26, 910.33 and 423.79

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Solution

The fourth proportional to 660.26, 910.33 and 423.79 is: 584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.26 : 910.33 = 423.79 : x
  2. Step 2: Convert to fraction form
    660.26/910.33 = 423.79/x
  3. Step 3: Cross multiply
    660.26x = 910.33 × 423.79
  4. Step 4: Simplify right side
    660.26x = 385,785.42
  5. Step 5: Solve for x
    x = 385,785.42/660.26
  6. Step 6: Final answer
    x = 584.30

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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.