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Finding the Fourth Proportional to 2,065.86, 3,098.46 and 605.16

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Solution

The fourth proportional to 2,065.86, 3,098.46 and 605.16 is: 907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.86 : 3,098.46 = 605.16 : x
  2. Step 2: Convert to fraction form
    2,065.86/3,098.46 = 605.16/x
  3. Step 3: Cross multiply
    2,065.86x = 3,098.46 × 605.16
  4. Step 4: Simplify right side
    2,065.86x = 1,875,064.05
  5. Step 5: Solve for x
    x = 1,875,064.05/2,065.86
  6. Step 6: Final answer
    x = 907.64

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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.