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Finding the Fourth Proportional to 516.30, 711.66 and 405.60

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Solution

The fourth proportional to 516.30, 711.66 and 405.60 is: 559.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.30 : 711.66 = 405.60 : x
  2. Step 2: Convert to fraction form
    516.30/711.66 = 405.60/x
  3. Step 3: Cross multiply
    516.30x = 711.66 × 405.60
  4. Step 4: Simplify right side
    516.30x = 288,649.30
  5. Step 5: Solve for x
    x = 288,649.30/516.30
  6. Step 6: Final answer
    x = 559.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.