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Finding the Fourth Proportional to 525.73, 787.56 and 403.39

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Solution

The fourth proportional to 525.73, 787.56 and 403.39 is: 604.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.73 : 787.56 = 403.39 : x
  2. Step 2: Convert to fraction form
    525.73/787.56 = 403.39/x
  3. Step 3: Cross multiply
    525.73x = 787.56 × 403.39
  4. Step 4: Simplify right side
    525.73x = 317,693.83
  5. Step 5: Solve for x
    x = 317,693.83/525.73
  6. Step 6: Final answer
    x = 604.29

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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.