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Finding the Fourth Proportional to 1,150.03, 1,725.32 and 500.95

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Solution

The fourth proportional to 1,150.03, 1,725.32 and 500.95 is: 751.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.03 : 1,725.32 = 500.95 : x
  2. Step 2: Convert to fraction form
    1,150.03/1,725.32 = 500.95/x
  3. Step 3: Cross multiply
    1,150.03x = 1,725.32 × 500.95
  4. Step 4: Simplify right side
    1,150.03x = 864,299.05
  5. Step 5: Solve for x
    x = 864,299.05/1,150.03
  6. Step 6: Final answer
    x = 751.54

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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.