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Finding the Fourth Proportional to 516.02, 712.12 and 283.15

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Solution

The fourth proportional to 516.02, 712.12 and 283.15 is: 390.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.02 : 712.12 = 283.15 : x
  2. Step 2: Convert to fraction form
    516.02/712.12 = 283.15/x
  3. Step 3: Cross multiply
    516.02x = 712.12 × 283.15
  4. Step 4: Simplify right side
    516.02x = 201,633.22
  5. Step 5: Solve for x
    x = 201,633.22/516.02
  6. Step 6: Final answer
    x = 390.75

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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.