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Finding the Fourth Proportional to 1,293.17, 1,783.66 and 796.08

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Solution

The fourth proportional to 1,293.17, 1,783.66 and 796.08 is: 1,098.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.17 : 1,783.66 = 796.08 : x
  2. Step 2: Convert to fraction form
    1,293.17/1,783.66 = 796.08/x
  3. Step 3: Cross multiply
    1,293.17x = 1,783.66 × 796.08
  4. Step 4: Simplify right side
    1,293.17x = 1,419,934.06
  5. Step 5: Solve for x
    x = 1,419,934.06/1,293.17
  6. Step 6: Final answer
    x = 1,098.02

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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.