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Finding the Fourth Proportional to 780.32, 1,179.33 and 766.88

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Solution

The fourth proportional to 780.32, 1,179.33 and 766.88 is: 1,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.32 : 1,179.33 = 766.88 : x
  2. Step 2: Convert to fraction form
    780.32/1,179.33 = 766.88/x
  3. Step 3: Cross multiply
    780.32x = 1,179.33 × 766.88
  4. Step 4: Simplify right side
    780.32x = 904,404.59
  5. Step 5: Solve for x
    x = 904,404.59/780.32
  6. Step 6: Final answer
    x = 1,159.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.