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Finding the Fourth Proportional to 787.02, 1,180.06 and 493.80

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Solution

The fourth proportional to 787.02, 1,180.06 and 493.80 is: 740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.02 : 1,180.06 = 493.80 : x
  2. Step 2: Convert to fraction form
    787.02/1,180.06 = 493.80/x
  3. Step 3: Cross multiply
    787.02x = 1,180.06 × 493.80
  4. Step 4: Simplify right side
    787.02x = 582,713.63
  5. Step 5: Solve for x
    x = 582,713.63/787.02
  6. Step 6: Final answer
    x = 740.41

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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.