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Finding the Fourth Proportional to 516.99, 776.20 and 440.45

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Solution

The fourth proportional to 516.99, 776.20 and 440.45 is: 661.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.99 : 776.20 = 440.45 : x
  2. Step 2: Convert to fraction form
    516.99/776.20 = 440.45/x
  3. Step 3: Cross multiply
    516.99x = 776.20 × 440.45
  4. Step 4: Simplify right side
    516.99x = 341,877.29
  5. Step 5: Solve for x
    x = 341,877.29/516.99
  6. Step 6: Final answer
    x = 661.28

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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.