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Finding the Fourth Proportional to 787.99, 1,086.26 and 504.38

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Solution

The fourth proportional to 787.99, 1,086.26 and 504.38 is: 695.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.99 : 1,086.26 = 504.38 : x
  2. Step 2: Convert to fraction form
    787.99/1,086.26 = 504.38/x
  3. Step 3: Cross multiply
    787.99x = 1,086.26 × 504.38
  4. Step 4: Simplify right side
    787.99x = 547,885.83
  5. Step 5: Solve for x
    x = 547,885.83/787.99
  6. Step 6: Final answer
    x = 695.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.