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Finding the Fourth Proportional to 521.51, 782.40 and 233.15

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Solution

The fourth proportional to 521.51, 782.40 and 233.15 is: 349.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.51 : 782.40 = 233.15 : x
  2. Step 2: Convert to fraction form
    521.51/782.40 = 233.15/x
  3. Step 3: Cross multiply
    521.51x = 782.40 × 233.15
  4. Step 4: Simplify right side
    521.51x = 182,416.56
  5. Step 5: Solve for x
    x = 182,416.56/521.51
  6. Step 6: Final answer
    x = 349.79

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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.