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Finding the Fourth Proportional to 1,338.90, 2,005.10 and 760.02

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Solution

The fourth proportional to 1,338.90, 2,005.10 and 760.02 is: 1,138.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.90 : 2,005.10 = 760.02 : x
  2. Step 2: Convert to fraction form
    1,338.90/2,005.10 = 760.02/x
  3. Step 3: Cross multiply
    1,338.90x = 2,005.10 × 760.02
  4. Step 4: Simplify right side
    1,338.90x = 1,523,916.10
  5. Step 5: Solve for x
    x = 1,523,916.10/1,338.90
  6. Step 6: Final answer
    x = 1,138.19

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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.