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Finding the Fourth Proportional to 800.78, 1,199.64 and 492.74

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Solution

The fourth proportional to 800.78, 1,199.64 and 492.74 is: 738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.78 : 1,199.64 = 492.74 : x
  2. Step 2: Convert to fraction form
    800.78/1,199.64 = 492.74/x
  3. Step 3: Cross multiply
    800.78x = 1,199.64 × 492.74
  4. Step 4: Simplify right side
    800.78x = 591,110.61
  5. Step 5: Solve for x
    x = 591,110.61/800.78
  6. Step 6: Final answer
    x = 738.17

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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.