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Finding the Fourth Proportional to 780.32, 1,069.79 and 766.53

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Solution

The fourth proportional to 780.32, 1,069.79 and 766.53 is: 1,050.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.32 : 1,069.79 = 766.53 : x
  2. Step 2: Convert to fraction form
    780.32/1,069.79 = 766.53/x
  3. Step 3: Cross multiply
    780.32x = 1,069.79 × 766.53
  4. Step 4: Simplify right side
    780.32x = 820,022.30
  5. Step 5: Solve for x
    x = 820,022.30/780.32
  6. Step 6: Final answer
    x = 1,050.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.