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Finding the Fourth Proportional to 2,900.85, 4,351.36 and 709.58

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Solution

The fourth proportional to 2,900.85, 4,351.36 and 709.58 is: 1,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.85 : 4,351.36 = 709.58 : x
  2. Step 2: Convert to fraction form
    2,900.85/4,351.36 = 709.58/x
  3. Step 3: Cross multiply
    2,900.85x = 4,351.36 × 709.58
  4. Step 4: Simplify right side
    2,900.85x = 3,087,621.99
  5. Step 5: Solve for x
    x = 3,087,621.99/2,900.85
  6. Step 6: Final answer
    x = 1,064.39

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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.