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Finding the Fourth Proportional to 920.82, 1,270.13 and 699.27

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Solution

The fourth proportional to 920.82, 1,270.13 and 699.27 is: 964.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.82 : 1,270.13 = 699.27 : x
  2. Step 2: Convert to fraction form
    920.82/1,270.13 = 699.27/x
  3. Step 3: Cross multiply
    920.82x = 1,270.13 × 699.27
  4. Step 4: Simplify right side
    920.82x = 888,160.31
  5. Step 5: Solve for x
    x = 888,160.31/920.82
  6. Step 6: Final answer
    x = 964.53

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1.5x scale

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.