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Finding the Fourth Proportional to 522.73, 780.38 and 440.71

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Solution

The fourth proportional to 522.73, 780.38 and 440.71 is: 657.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.73 : 780.38 = 440.71 : x
  2. Step 2: Convert to fraction form
    522.73/780.38 = 440.71/x
  3. Step 3: Cross multiply
    522.73x = 780.38 × 440.71
  4. Step 4: Simplify right side
    522.73x = 343,921.27
  5. Step 5: Solve for x
    x = 343,921.27/522.73
  6. Step 6: Final answer
    x = 657.93

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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.