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Finding the Fourth Proportional to 785.73, 1,178.99 and 556.10

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Solution

The fourth proportional to 785.73, 1,178.99 and 556.10 is: 834.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.73 : 1,178.99 = 556.10 : x
  2. Step 2: Convert to fraction form
    785.73/1,178.99 = 556.10/x
  3. Step 3: Cross multiply
    785.73x = 1,178.99 × 556.10
  4. Step 4: Simplify right side
    785.73x = 655,627.66
  5. Step 5: Solve for x
    x = 655,627.66/785.73
  6. Step 6: Final answer
    x = 834.42

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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.