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Finding the Fourth Proportional to 788.89, 1,177.17 and 784.34

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Solution

The fourth proportional to 788.89, 1,177.17 and 784.34 is: 1,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.89 : 1,177.17 = 784.34 : x
  2. Step 2: Convert to fraction form
    788.89/1,177.17 = 784.34/x
  3. Step 3: Cross multiply
    788.89x = 1,177.17 × 784.34
  4. Step 4: Simplify right side
    788.89x = 923,301.52
  5. Step 5: Solve for x
    x = 923,301.52/788.89
  6. Step 6: Final answer
    x = 1,170.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.