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Finding the Fourth Proportional to 525.31, 787.93 and 217.09

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Solution

The fourth proportional to 525.31, 787.93 and 217.09 is: 325.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.31 : 787.93 = 217.09 : x
  2. Step 2: Convert to fraction form
    525.31/787.93 = 217.09/x
  3. Step 3: Cross multiply
    525.31x = 787.93 × 217.09
  4. Step 4: Simplify right side
    525.31x = 171,051.72
  5. Step 5: Solve for x
    x = 171,051.72/525.31
  6. Step 6: Final answer
    x = 325.62

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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.