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Finding the Fourth Proportional to 1,025.10, 1,414.02 and 605.28

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Solution

The fourth proportional to 1,025.10, 1,414.02 and 605.28 is: 834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.10 : 1,414.02 = 605.28 : x
  2. Step 2: Convert to fraction form
    1,025.10/1,414.02 = 605.28/x
  3. Step 3: Cross multiply
    1,025.10x = 1,414.02 × 605.28
  4. Step 4: Simplify right side
    1,025.10x = 855,878.03
  5. Step 5: Solve for x
    x = 855,878.03/1,025.10
  6. Step 6: Final answer
    x = 834.92

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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.