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Finding the Fourth Proportional to 780.59, 1,077.29 and 756.36

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Solution

The fourth proportional to 780.59, 1,077.29 and 756.36 is: 1,043.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.59 : 1,077.29 = 756.36 : x
  2. Step 2: Convert to fraction form
    780.59/1,077.29 = 756.36/x
  3. Step 3: Cross multiply
    780.59x = 1,077.29 × 756.36
  4. Step 4: Simplify right side
    780.59x = 814,815.28
  5. Step 5: Solve for x
    x = 814,815.28/780.59
  6. Step 6: Final answer
    x = 1,043.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.