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Finding the Fourth Proportional to 578.10, 866.34 and 433.66

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Solution

The fourth proportional to 578.10, 866.34 and 433.66 is: 649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.10 : 866.34 = 433.66 : x
  2. Step 2: Convert to fraction form
    578.10/866.34 = 433.66/x
  3. Step 3: Cross multiply
    578.10x = 866.34 × 433.66
  4. Step 4: Simplify right side
    578.10x = 375,697.00
  5. Step 5: Solve for x
    x = 375,697.00/578.10
  6. Step 6: Final answer
    x = 649.88

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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.