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Finding the Fourth Proportional to 1,217.93, 1,680.76 and 720.56

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Solution

The fourth proportional to 1,217.93, 1,680.76 and 720.56 is: 994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.93 : 1,680.76 = 720.56 : x
  2. Step 2: Convert to fraction form
    1,217.93/1,680.76 = 720.56/x
  3. Step 3: Cross multiply
    1,217.93x = 1,680.76 × 720.56
  4. Step 4: Simplify right side
    1,217.93x = 1,211,086.85
  5. Step 5: Solve for x
    x = 1,211,086.85/1,217.93
  6. Step 6: Final answer
    x = 994.38

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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.