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Finding the Fourth Proportional to 1,542.66, 2,313.99 and 516.66

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Solution

The fourth proportional to 1,542.66, 2,313.99 and 516.66 is: 774.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.66 : 2,313.99 = 516.66 : x
  2. Step 2: Convert to fraction form
    1,542.66/2,313.99 = 516.66/x
  3. Step 3: Cross multiply
    1,542.66x = 2,313.99 × 516.66
  4. Step 4: Simplify right side
    1,542.66x = 1,195,537.40
  5. Step 5: Solve for x
    x = 1,195,537.40/1,542.66
  6. Step 6: Final answer
    x = 774.99

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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.