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Finding the Fourth Proportional to 810.51, 1,118.87 and 516.18

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Solution

The fourth proportional to 810.51, 1,118.87 and 516.18 is: 712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.51 : 1,118.87 = 516.18 : x
  2. Step 2: Convert to fraction form
    810.51/1,118.87 = 516.18/x
  3. Step 3: Cross multiply
    810.51x = 1,118.87 × 516.18
  4. Step 4: Simplify right side
    810.51x = 577,536.38
  5. Step 5: Solve for x
    x = 577,536.38/810.51
  6. Step 6: Final answer
    x = 712.56

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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.