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Finding the Fourth Proportional to 578.16, 866.76 and 334.80

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Solution

The fourth proportional to 578.16, 866.76 and 334.80 is: 501.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.16 : 866.76 = 334.80 : x
  2. Step 2: Convert to fraction form
    578.16/866.76 = 334.80/x
  3. Step 3: Cross multiply
    578.16x = 866.76 × 334.80
  4. Step 4: Simplify right side
    578.16x = 290,191.25
  5. Step 5: Solve for x
    x = 290,191.25/578.16
  6. Step 6: Final answer
    x = 501.92

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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.