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Finding the Fourth Proportional to 578.31, 866.64 and 434.13

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Solution

The fourth proportional to 578.31, 866.64 and 434.13 is: 650.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.31 : 866.64 = 434.13 : x
  2. Step 2: Convert to fraction form
    578.31/866.64 = 434.13/x
  3. Step 3: Cross multiply
    578.31x = 866.64 × 434.13
  4. Step 4: Simplify right side
    578.31x = 376,234.42
  5. Step 5: Solve for x
    x = 376,234.42/578.31
  6. Step 6: Final answer
    x = 650.58

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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.