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Finding the Fourth Proportional to 709.87, 1,064.91 and 189.91

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Solution

The fourth proportional to 709.87, 1,064.91 and 189.91 is: 284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.87 : 1,064.91 = 189.91 : x
  2. Step 2: Convert to fraction form
    709.87/1,064.91 = 189.91/x
  3. Step 3: Cross multiply
    709.87x = 1,064.91 × 189.91
  4. Step 4: Simplify right side
    709.87x = 202,237.06
  5. Step 5: Solve for x
    x = 202,237.06/709.87
  6. Step 6: Final answer
    x = 284.89

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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.