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Finding the Fourth Proportional to 1,493.01, 2,060.21 and 863.49

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Solution

The fourth proportional to 1,493.01, 2,060.21 and 863.49 is: 1,191.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.01 : 2,060.21 = 863.49 : x
  2. Step 2: Convert to fraction form
    1,493.01/2,060.21 = 863.49/x
  3. Step 3: Cross multiply
    1,493.01x = 2,060.21 × 863.49
  4. Step 4: Simplify right side
    1,493.01x = 1,778,966.42
  5. Step 5: Solve for x
    x = 1,778,966.42/1,493.01
  6. Step 6: Final answer
    x = 1,191.53

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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.