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Finding the Fourth Proportional to 1,153.43, 1,728.42 and 537.02

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Solution

The fourth proportional to 1,153.43, 1,728.42 and 537.02 is: 804.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.43 : 1,728.42 = 537.02 : x
  2. Step 2: Convert to fraction form
    1,153.43/1,728.42 = 537.02/x
  3. Step 3: Cross multiply
    1,153.43x = 1,728.42 × 537.02
  4. Step 4: Simplify right side
    1,153.43x = 928,196.11
  5. Step 5: Solve for x
    x = 928,196.11/1,153.43
  6. Step 6: Final answer
    x = 804.73

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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.