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Finding the Fourth Proportional to 787.60, 1,187.30 and 734.74

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Solution

The fourth proportional to 787.60, 1,187.30 and 734.74 is: 1,107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.60 : 1,187.30 = 734.74 : x
  2. Step 2: Convert to fraction form
    787.60/1,187.30 = 734.74/x
  3. Step 3: Cross multiply
    787.60x = 1,187.30 × 734.74
  4. Step 4: Simplify right side
    787.60x = 872,356.80
  5. Step 5: Solve for x
    x = 872,356.80/787.60
  6. Step 6: Final answer
    x = 1,107.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.