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Finding the Fourth Proportional to 787.94, 1,087.38 and 456.48

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Solution

The fourth proportional to 787.94, 1,087.38 and 456.48 is: 629.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.94 : 1,087.38 = 456.48 : x
  2. Step 2: Convert to fraction form
    787.94/1,087.38 = 456.48/x
  3. Step 3: Cross multiply
    787.94x = 1,087.38 × 456.48
  4. Step 4: Simplify right side
    787.94x = 496,367.22
  5. Step 5: Solve for x
    x = 496,367.22/787.94
  6. Step 6: Final answer
    x = 629.96

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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.