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Finding the Fourth Proportional to 522.52, 782.94 and 278.44

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Solution

The fourth proportional to 522.52, 782.94 and 278.44 is: 417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.52 : 782.94 = 278.44 : x
  2. Step 2: Convert to fraction form
    522.52/782.94 = 278.44/x
  3. Step 3: Cross multiply
    522.52x = 782.94 × 278.44
  4. Step 4: Simplify right side
    522.52x = 218,001.81
  5. Step 5: Solve for x
    x = 218,001.81/522.52
  6. Step 6: Final answer
    x = 417.21

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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.