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Finding the Fourth Proportional to 859.41, 1,280.21 and 813.24

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Solution

The fourth proportional to 859.41, 1,280.21 and 813.24 is: 1,211.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.41 : 1,280.21 = 813.24 : x
  2. Step 2: Convert to fraction form
    859.41/1,280.21 = 813.24/x
  3. Step 3: Cross multiply
    859.41x = 1,280.21 × 813.24
  4. Step 4: Simplify right side
    859.41x = 1,041,113.91
  5. Step 5: Solve for x
    x = 1,041,113.91/859.41
  6. Step 6: Final answer
    x = 1,211.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.