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Finding the Fourth Proportional to 787.50, 1,086.75 and 438.27

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Solution

The fourth proportional to 787.50, 1,086.75 and 438.27 is: 604.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.50 : 1,086.75 = 438.27 : x
  2. Step 2: Convert to fraction form
    787.50/1,086.75 = 438.27/x
  3. Step 3: Cross multiply
    787.50x = 1,086.75 × 438.27
  4. Step 4: Simplify right side
    787.50x = 476,289.92
  5. Step 5: Solve for x
    x = 476,289.92/787.50
  6. Step 6: Final answer
    x = 604.81

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1.5x scale

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.