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Finding the Fourth Proportional to 2,900.53, 4,350.87 and 709.25

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Solution

The fourth proportional to 2,900.53, 4,350.87 and 709.25 is: 1,063.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.53 : 4,350.87 = 709.25 : x
  2. Step 2: Convert to fraction form
    2,900.53/4,350.87 = 709.25/x
  3. Step 3: Cross multiply
    2,900.53x = 4,350.87 × 709.25
  4. Step 4: Simplify right side
    2,900.53x = 3,085,876.24
  5. Step 5: Solve for x
    x = 3,085,876.24/2,900.53
  6. Step 6: Final answer
    x = 1,063.90

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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.