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Finding the Fourth Proportional to 709.74, 1,064.82 and 385.38

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Solution

The fourth proportional to 709.74, 1,064.82 and 385.38 is: 578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.74 : 1,064.82 = 385.38 : x
  2. Step 2: Convert to fraction form
    709.74/1,064.82 = 385.38/x
  3. Step 3: Cross multiply
    709.74x = 1,064.82 × 385.38
  4. Step 4: Simplify right side
    709.74x = 410,360.33
  5. Step 5: Solve for x
    x = 410,360.33/709.74
  6. Step 6: Final answer
    x = 578.18

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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.