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Finding the Fourth Proportional to 788.11, 1,182.45 and 584.39

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Solution

The fourth proportional to 788.11, 1,182.45 and 584.39 is: 876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.11 : 1,182.45 = 584.39 : x
  2. Step 2: Convert to fraction form
    788.11/1,182.45 = 584.39/x
  3. Step 3: Cross multiply
    788.11x = 1,182.45 × 584.39
  4. Step 4: Simplify right side
    788.11x = 691,011.96
  5. Step 5: Solve for x
    x = 691,011.96/788.11
  6. Step 6: Final answer
    x = 876.80

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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.