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Finding the Fourth Proportional to 1,449.35, 2,174.10 and 709.64

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Solution

The fourth proportional to 1,449.35, 2,174.10 and 709.64 is: 1,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.35 : 2,174.10 = 709.64 : x
  2. Step 2: Convert to fraction form
    1,449.35/2,174.10 = 709.64/x
  3. Step 3: Cross multiply
    1,449.35x = 2,174.10 × 709.64
  4. Step 4: Simplify right side
    1,449.35x = 1,542,828.32
  5. Step 5: Solve for x
    x = 1,542,828.32/1,449.35
  6. Step 6: Final answer
    x = 1,064.50

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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.