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Finding the Fourth Proportional to 855.48, 1,277.11 and 763.21

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Solution

The fourth proportional to 855.48, 1,277.11 and 763.21 is: 1,139.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.48 : 1,277.11 = 763.21 : x
  2. Step 2: Convert to fraction form
    855.48/1,277.11 = 763.21/x
  3. Step 3: Cross multiply
    855.48x = 1,277.11 × 763.21
  4. Step 4: Simplify right side
    855.48x = 974,703.12
  5. Step 5: Solve for x
    x = 974,703.12/855.48
  6. Step 6: Final answer
    x = 1,139.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.