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Finding the Fourth Proportional to 442.78, 660.71 and 440.23

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Solution

The fourth proportional to 442.78, 660.71 and 440.23 is: 656.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.78 : 660.71 = 440.23 : x
  2. Step 2: Convert to fraction form
    442.78/660.71 = 440.23/x
  3. Step 3: Cross multiply
    442.78x = 660.71 × 440.23
  4. Step 4: Simplify right side
    442.78x = 290,863.81
  5. Step 5: Solve for x
    x = 290,863.81/442.78
  6. Step 6: Final answer
    x = 656.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.