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Finding the Fourth Proportional to 2,506.53, 3,759.96 and 657.69

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Solution

The fourth proportional to 2,506.53, 3,759.96 and 657.69 is: 986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.53 : 3,759.96 = 657.69 : x
  2. Step 2: Convert to fraction form
    2,506.53/3,759.96 = 657.69/x
  3. Step 3: Cross multiply
    2,506.53x = 3,759.96 × 657.69
  4. Step 4: Simplify right side
    2,506.53x = 2,472,888.09
  5. Step 5: Solve for x
    x = 2,472,888.09/2,506.53
  6. Step 6: Final answer
    x = 986.58

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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.