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Finding the Fourth Proportional to 862.86, 1,293.21 and 720.30

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Solution

The fourth proportional to 862.86, 1,293.21 and 720.30 is: 1,079.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.86 : 1,293.21 = 720.30 : x
  2. Step 2: Convert to fraction form
    862.86/1,293.21 = 720.30/x
  3. Step 3: Cross multiply
    862.86x = 1,293.21 × 720.30
  4. Step 4: Simplify right side
    862.86x = 931,499.16
  5. Step 5: Solve for x
    x = 931,499.16/862.86
  6. Step 6: Final answer
    x = 1,079.55

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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.