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Finding the Fourth Proportional to 787.12, 1,086.20 and 437.84

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Solution

The fourth proportional to 787.12, 1,086.20 and 437.84 is: 604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.12 : 1,086.20 = 437.84 : x
  2. Step 2: Convert to fraction form
    787.12/1,086.20 = 437.84/x
  3. Step 3: Cross multiply
    787.12x = 1,086.20 × 437.84
  4. Step 4: Simplify right side
    787.12x = 475,581.81
  5. Step 5: Solve for x
    x = 475,581.81/787.12
  6. Step 6: Final answer
    x = 604.20

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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.