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Finding the Fourth Proportional to 521.34, 782.02 and 306.29

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Solution

The fourth proportional to 521.34, 782.02 and 306.29 is: 459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.34 : 782.02 = 306.29 : x
  2. Step 2: Convert to fraction form
    521.34/782.02 = 306.29/x
  3. Step 3: Cross multiply
    521.34x = 782.02 × 306.29
  4. Step 4: Simplify right side
    521.34x = 239,521.00
  5. Step 5: Solve for x
    x = 239,521.00/521.34
  6. Step 6: Final answer
    x = 459.43

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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.