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Finding the Fourth Proportional to 709.05, 1,064.79 and 385.05

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Solution

The fourth proportional to 709.05, 1,064.79 and 385.05 is: 578.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.05 : 1,064.79 = 385.05 : x
  2. Step 2: Convert to fraction form
    709.05/1,064.79 = 385.05/x
  3. Step 3: Cross multiply
    709.05x = 1,064.79 × 385.05
  4. Step 4: Simplify right side
    709.05x = 409,997.39
  5. Step 5: Solve for x
    x = 409,997.39/709.05
  6. Step 6: Final answer
    x = 578.23

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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.