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Finding the Fourth Proportional to 787.73, 1,180.74 and 421.61

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Solution

The fourth proportional to 787.73, 1,180.74 and 421.61 is: 631.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.73 : 1,180.74 = 421.61 : x
  2. Step 2: Convert to fraction form
    787.73/1,180.74 = 421.61/x
  3. Step 3: Cross multiply
    787.73x = 1,180.74 × 421.61
  4. Step 4: Simplify right side
    787.73x = 497,811.79
  5. Step 5: Solve for x
    x = 497,811.79/787.73
  6. Step 6: Final answer
    x = 631.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.