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Finding the Fourth Proportional to 578.24, 866.76 and 433.52

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Solution

The fourth proportional to 578.24, 866.76 and 433.52 is: 649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.24 : 866.76 = 433.52 : x
  2. Step 2: Convert to fraction form
    578.24/866.76 = 433.52/x
  3. Step 3: Cross multiply
    578.24x = 866.76 × 433.52
  4. Step 4: Simplify right side
    578.24x = 375,757.80
  5. Step 5: Solve for x
    x = 375,757.80/578.24
  6. Step 6: Final answer
    x = 649.83

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1.5x scale

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.