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Finding the Fourth Proportional to 783.86, 1,080.66 and 758.34

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Solution

The fourth proportional to 783.86, 1,080.66 and 758.34 is: 1,045.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.86 : 1,080.66 = 758.34 : x
  2. Step 2: Convert to fraction form
    783.86/1,080.66 = 758.34/x
  3. Step 3: Cross multiply
    783.86x = 1,080.66 × 758.34
  4. Step 4: Simplify right side
    783.86x = 819,507.70
  5. Step 5: Solve for x
    x = 819,507.70/783.86
  6. Step 6: Final answer
    x = 1,045.48

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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.