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Finding the Fourth Proportional to 787.23, 1,086.48 and 455.76

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Solution

The fourth proportional to 787.23, 1,086.48 and 455.76 is: 629.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.23 : 1,086.48 = 455.76 : x
  2. Step 2: Convert to fraction form
    787.23/1,086.48 = 455.76/x
  3. Step 3: Cross multiply
    787.23x = 1,086.48 × 455.76
  4. Step 4: Simplify right side
    787.23x = 495,174.12
  5. Step 5: Solve for x
    x = 495,174.12/787.23
  6. Step 6: Final answer
    x = 629.01

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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.