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Finding the Fourth Proportional to 516.24, 711.59 and 368.69

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Solution

The fourth proportional to 516.24, 711.59 and 368.69 is: 508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.24 : 711.59 = 368.69 : x
  2. Step 2: Convert to fraction form
    516.24/711.59 = 368.69/x
  3. Step 3: Cross multiply
    516.24x = 711.59 × 368.69
  4. Step 4: Simplify right side
    516.24x = 262,350.72
  5. Step 5: Solve for x
    x = 262,350.72/516.24
  6. Step 6: Final answer
    x = 508.20

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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.