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Finding the Fourth Proportional to 788.79, 1,182.19 and 691.06

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Solution

The fourth proportional to 788.79, 1,182.19 and 691.06 is: 1,035.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.79 : 1,182.19 = 691.06 : x
  2. Step 2: Convert to fraction form
    788.79/1,182.19 = 691.06/x
  3. Step 3: Cross multiply
    788.79x = 1,182.19 × 691.06
  4. Step 4: Simplify right side
    788.79x = 816,964.22
  5. Step 5: Solve for x
    x = 816,964.22/788.79
  6. Step 6: Final answer
    x = 1,035.72

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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.