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Finding the Fourth Proportional to 787.81, 1,087.08 and 456.22

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Solution

The fourth proportional to 787.81, 1,087.08 and 456.22 is: 629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.81 : 1,087.08 = 456.22 : x
  2. Step 2: Convert to fraction form
    787.81/1,087.08 = 456.22/x
  3. Step 3: Cross multiply
    787.81x = 1,087.08 × 456.22
  4. Step 4: Simplify right side
    787.81x = 495,947.64
  5. Step 5: Solve for x
    x = 495,947.64/787.81
  6. Step 6: Final answer
    x = 629.53

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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.