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Finding the Fourth Proportional to 1,505.08, 2,255.46 and 991

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Solution

The fourth proportional to 1,505.08, 2,255.46 and 991 is: 1,485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.08 : 2,255.46 = 991 : x
  2. Step 2: Convert to fraction form
    1,505.08/2,255.46 = 991/x
  3. Step 3: Cross multiply
    1,505.08x = 2,255.46 × 991
  4. Step 4: Simplify right side
    1,505.08x = 2,235,160.86
  5. Step 5: Solve for x
    x = 2,235,160.86/1,505.08
  6. Step 6: Final answer
    x = 1,485.08

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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.