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Finding the Fourth Proportional to 863.53, 1,294.21 and 680.20

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Solution

The fourth proportional to 863.53, 1,294.21 and 680.20 is: 1,019.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.53 : 1,294.21 = 680.20 : x
  2. Step 2: Convert to fraction form
    863.53/1,294.21 = 680.20/x
  3. Step 3: Cross multiply
    863.53x = 1,294.21 × 680.20
  4. Step 4: Simplify right side
    863.53x = 880,319.26
  5. Step 5: Solve for x
    x = 880,319.26/863.53
  6. Step 6: Final answer
    x = 1,019.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.