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Finding the Fourth Proportional to 788.86, 1,178.06 and 679.52

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Solution

The fourth proportional to 788.86, 1,178.06 and 679.52 is: 1,014.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.86 : 1,178.06 = 679.52 : x
  2. Step 2: Convert to fraction form
    788.86/1,178.06 = 679.52/x
  3. Step 3: Cross multiply
    788.86x = 1,178.06 × 679.52
  4. Step 4: Simplify right side
    788.86x = 800,515.33
  5. Step 5: Solve for x
    x = 800,515.33/788.86
  6. Step 6: Final answer
    x = 1,014.77

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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.