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Finding the Fourth Proportional to 2,605.33, 3,908.02 and 657.53

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Solution

The fourth proportional to 2,605.33, 3,908.02 and 657.53 is: 986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.33 : 3,908.02 = 657.53 : x
  2. Step 2: Convert to fraction form
    2,605.33/3,908.02 = 657.53/x
  3. Step 3: Cross multiply
    2,605.33x = 3,908.02 × 657.53
  4. Step 4: Simplify right side
    2,605.33x = 2,569,640.39
  5. Step 5: Solve for x
    x = 2,569,640.39/2,605.33
  6. Step 6: Final answer
    x = 986.30

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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.