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Finding the Fourth Proportional to 522.70, 783.82 and 262.60

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Solution

The fourth proportional to 522.70, 783.82 and 262.60 is: 393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.70 : 783.82 = 262.60 : x
  2. Step 2: Convert to fraction form
    522.70/783.82 = 262.60/x
  3. Step 3: Cross multiply
    522.70x = 783.82 × 262.60
  4. Step 4: Simplify right side
    522.70x = 205,831.13
  5. Step 5: Solve for x
    x = 205,831.13/522.70
  6. Step 6: Final answer
    x = 393.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.