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Finding the Fourth Proportional to 862.98, 1,285.91 and 821.14

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Solution

The fourth proportional to 862.98, 1,285.91 and 821.14 is: 1,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.98 : 1,285.91 = 821.14 : x
  2. Step 2: Convert to fraction form
    862.98/1,285.91 = 821.14/x
  3. Step 3: Cross multiply
    862.98x = 1,285.91 × 821.14
  4. Step 4: Simplify right side
    862.98x = 1,055,912.14
  5. Step 5: Solve for x
    x = 1,055,912.14/862.98
  6. Step 6: Final answer
    x = 1,223.57

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1.5x scale

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.