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Finding the Fourth Proportional to 1,505.03, 2,077.78 and 1,033.21

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Solution

The fourth proportional to 1,505.03, 2,077.78 and 1,033.21 is: 1,426.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.03 : 2,077.78 = 1,033.21 : x
  2. Step 2: Convert to fraction form
    1,505.03/2,077.78 = 1,033.21/x
  3. Step 3: Cross multiply
    1,505.03x = 2,077.78 × 1,033.21
  4. Step 4: Simplify right side
    1,505.03x = 2,146,770.43
  5. Step 5: Solve for x
    x = 2,146,770.43/1,505.03
  6. Step 6: Final answer
    x = 1,426.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.