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Finding the Fourth Proportional to 578.13, 866.73 and 334.21

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Solution

The fourth proportional to 578.13, 866.73 and 334.21 is: 501.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.13 : 866.73 = 334.21 : x
  2. Step 2: Convert to fraction form
    578.13/866.73 = 334.21/x
  3. Step 3: Cross multiply
    578.13x = 866.73 × 334.21
  4. Step 4: Simplify right side
    578.13x = 289,669.83
  5. Step 5: Solve for x
    x = 289,669.83/578.13
  6. Step 6: Final answer
    x = 501.05

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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.