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Finding the Fourth Proportional to 2,604.93, 3,907.38 and 657.13

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Solution

The fourth proportional to 2,604.93, 3,907.38 and 657.13 is: 985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.93 : 3,907.38 = 657.13 : x
  2. Step 2: Convert to fraction form
    2,604.93/3,907.38 = 657.13/x
  3. Step 3: Cross multiply
    2,604.93x = 3,907.38 × 657.13
  4. Step 4: Simplify right side
    2,604.93x = 2,567,637.08
  5. Step 5: Solve for x
    x = 2,567,637.08/2,604.93
  6. Step 6: Final answer
    x = 985.68

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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.