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Finding the Fourth Proportional to 1,504.01, 2,077.16 and 1,033.15

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Solution

The fourth proportional to 1,504.01, 2,077.16 and 1,033.15 is: 1,426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.01 : 2,077.16 = 1,033.15 : x
  2. Step 2: Convert to fraction form
    1,504.01/2,077.16 = 1,033.15/x
  3. Step 3: Cross multiply
    1,504.01x = 2,077.16 × 1,033.15
  4. Step 4: Simplify right side
    1,504.01x = 2,146,002.30
  5. Step 5: Solve for x
    x = 2,146,002.30/1,504.01
  6. Step 6: Final answer
    x = 1,426.86

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