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Finding the Fourth Proportional to 525.82, 787.20 and 405.49

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Solution

The fourth proportional to 525.82, 787.20 and 405.49 is: 607.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.82 : 787.20 = 405.49 : x
  2. Step 2: Convert to fraction form
    525.82/787.20 = 405.49/x
  3. Step 3: Cross multiply
    525.82x = 787.20 × 405.49
  4. Step 4: Simplify right side
    525.82x = 319,201.73
  5. Step 5: Solve for x
    x = 319,201.73/525.82
  6. Step 6: Final answer
    x = 607.06

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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.