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Finding the Fourth Proportional to 521.90, 783 and 261.59

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Solution

The fourth proportional to 521.90, 783 and 261.59 is: 392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.90 : 783 = 261.59 : x
  2. Step 2: Convert to fraction form
    521.90/783 = 261.59/x
  3. Step 3: Cross multiply
    521.90x = 783 × 261.59
  4. Step 4: Simplify right side
    521.90x = 204,824.97
  5. Step 5: Solve for x
    x = 204,824.97/521.90
  6. Step 6: Final answer
    x = 392.46

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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.