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Finding the Fourth Proportional to 516.23, 772.99 and 433.77

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Solution

The fourth proportional to 516.23, 772.99 and 433.77 is: 649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.23 : 772.99 = 433.77 : x
  2. Step 2: Convert to fraction form
    516.23/772.99 = 433.77/x
  3. Step 3: Cross multiply
    516.23x = 772.99 × 433.77
  4. Step 4: Simplify right side
    516.23x = 335,296.01
  5. Step 5: Solve for x
    x = 335,296.01/516.23
  6. Step 6: Final answer
    x = 649.51

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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.