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Finding the Fourth Proportional to 525.49, 787.78 and 217.15

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Solution

The fourth proportional to 525.49, 787.78 and 217.15 is: 325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.49 : 787.78 = 217.15 : x
  2. Step 2: Convert to fraction form
    525.49/787.78 = 217.15/x
  3. Step 3: Cross multiply
    525.49x = 787.78 × 217.15
  4. Step 4: Simplify right side
    525.49x = 171,066.43
  5. Step 5: Solve for x
    x = 171,066.43/525.49
  6. Step 6: Final answer
    x = 325.54

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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.