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Finding the Fourth Proportional to 783.73, 1,078.81 and 709.92

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Solution

The fourth proportional to 783.73, 1,078.81 and 709.92 is: 977.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.73 : 1,078.81 = 709.92 : x
  2. Step 2: Convert to fraction form
    783.73/1,078.81 = 709.92/x
  3. Step 3: Cross multiply
    783.73x = 1,078.81 × 709.92
  4. Step 4: Simplify right side
    783.73x = 765,865.25
  5. Step 5: Solve for x
    x = 765,865.25/783.73
  6. Step 6: Final answer
    x = 977.21

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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.