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Finding the Fourth Proportional to 788.14, 1,180.38 and 479.68

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Solution

The fourth proportional to 788.14, 1,180.38 and 479.68 is: 718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.14 : 1,180.38 = 479.68 : x
  2. Step 2: Convert to fraction form
    788.14/1,180.38 = 479.68/x
  3. Step 3: Cross multiply
    788.14x = 1,180.38 × 479.68
  4. Step 4: Simplify right side
    788.14x = 566,204.68
  5. Step 5: Solve for x
    x = 566,204.68/788.14
  6. Step 6: Final answer
    x = 718.41

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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.