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Finding the Fourth Proportional to 709.74, 1,064.52 and 189.78

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Solution

The fourth proportional to 709.74, 1,064.52 and 189.78 is: 284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.74 : 1,064.52 = 189.78 : x
  2. Step 2: Convert to fraction form
    709.74/1,064.52 = 189.78/x
  3. Step 3: Cross multiply
    709.74x = 1,064.52 × 189.78
  4. Step 4: Simplify right side
    709.74x = 202,018.33
  5. Step 5: Solve for x
    x = 202,018.33/709.74
  6. Step 6: Final answer
    x = 284.64

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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.