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Finding the Fourth Proportional to 787.46, 1,086.43 and 455.71

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Solution

The fourth proportional to 787.46, 1,086.43 and 455.71 is: 628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.46 : 1,086.43 = 455.71 : x
  2. Step 2: Convert to fraction form
    787.46/1,086.43 = 455.71/x
  3. Step 3: Cross multiply
    787.46x = 1,086.43 × 455.71
  4. Step 4: Simplify right side
    787.46x = 495,097.02
  5. Step 5: Solve for x
    x = 495,097.02/787.46
  6. Step 6: Final answer
    x = 628.73

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