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Finding the Fourth Proportional to 783.78, 1,174.74 and 418.47

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Solution

The fourth proportional to 783.78, 1,174.74 and 418.47 is: 627.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.78 : 1,174.74 = 418.47 : x
  2. Step 2: Convert to fraction form
    783.78/1,174.74 = 418.47/x
  3. Step 3: Cross multiply
    783.78x = 1,174.74 × 418.47
  4. Step 4: Simplify right side
    783.78x = 491,593.45
  5. Step 5: Solve for x
    x = 491,593.45/783.78
  6. Step 6: Final answer
    x = 627.21

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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.