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Finding the Fourth Proportional to 2,605.23, 3,907.86 and 657.42

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Solution

The fourth proportional to 2,605.23, 3,907.86 and 657.42 is: 986.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.23 : 3,907.86 = 657.42 : x
  2. Step 2: Convert to fraction form
    2,605.23/3,907.86 = 657.42/x
  3. Step 3: Cross multiply
    2,605.23x = 3,907.86 × 657.42
  4. Step 4: Simplify right side
    2,605.23x = 2,569,105.32
  5. Step 5: Solve for x
    x = 2,569,105.32/2,605.23
  6. Step 6: Final answer
    x = 986.13

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1.5x scale

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.