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Finding the Fourth Proportional to 1,022.92, 1,534.55 and 803.53

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Solution

The fourth proportional to 1,022.92, 1,534.55 and 803.53 is: 1,205.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.92 : 1,534.55 = 803.53 : x
  2. Step 2: Convert to fraction form
    1,022.92/1,534.55 = 803.53/x
  3. Step 3: Cross multiply
    1,022.92x = 1,534.55 × 803.53
  4. Step 4: Simplify right side
    1,022.92x = 1,233,054.86
  5. Step 5: Solve for x
    x = 1,233,054.86/1,022.92
  6. Step 6: Final answer
    x = 1,205.43

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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.