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Finding the Fourth Proportional to 784.78, 1,180.94 and 646.97

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Solution

The fourth proportional to 784.78, 1,180.94 and 646.97 is: 973.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.78 : 1,180.94 = 646.97 : x
  2. Step 2: Convert to fraction form
    784.78/1,180.94 = 646.97/x
  3. Step 3: Cross multiply
    784.78x = 1,180.94 × 646.97
  4. Step 4: Simplify right side
    784.78x = 764,023.61
  5. Step 5: Solve for x
    x = 764,023.61/784.78
  6. Step 6: Final answer
    x = 973.55

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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.