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Finding the Fourth Proportional to 522.39, 783.78 and 278.78

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Solution

The fourth proportional to 522.39, 783.78 and 278.78 is: 418.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.39 : 783.78 = 278.78 : x
  2. Step 2: Convert to fraction form
    522.39/783.78 = 278.78/x
  3. Step 3: Cross multiply
    522.39x = 783.78 × 278.78
  4. Step 4: Simplify right side
    522.39x = 218,502.19
  5. Step 5: Solve for x
    x = 218,502.19/522.39
  6. Step 6: Final answer
    x = 418.27

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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.