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Finding the Fourth Proportional to 1,150.10, 1,725.32 and 500.82

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Solution

The fourth proportional to 1,150.10, 1,725.32 and 500.82 is: 751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.10 : 1,725.32 = 500.82 : x
  2. Step 2: Convert to fraction form
    1,150.10/1,725.32 = 500.82/x
  3. Step 3: Cross multiply
    1,150.10x = 1,725.32 × 500.82
  4. Step 4: Simplify right side
    1,150.10x = 864,074.76
  5. Step 5: Solve for x
    x = 864,074.76/1,150.10
  6. Step 6: Final answer
    x = 751.30

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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.