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Finding the Fourth Proportional to 552.93, 830.92 and 516.81

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Solution

The fourth proportional to 552.93, 830.92 and 516.81 is: 776.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.93 : 830.92 = 516.81 : x
  2. Step 2: Convert to fraction form
    552.93/830.92 = 516.81/x
  3. Step 3: Cross multiply
    552.93x = 830.92 × 516.81
  4. Step 4: Simplify right side
    552.93x = 429,426.77
  5. Step 5: Solve for x
    x = 429,426.77/552.93
  6. Step 6: Final answer
    x = 776.64

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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.