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Finding the Fourth Proportional to 927.07, 1,389.67 and 516.40

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Solution

The fourth proportional to 927.07, 1,389.67 and 516.40 is: 774.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.07 : 1,389.67 = 516.40 : x
  2. Step 2: Convert to fraction form
    927.07/1,389.67 = 516.40/x
  3. Step 3: Cross multiply
    927.07x = 1,389.67 × 516.40
  4. Step 4: Simplify right side
    927.07x = 717,625.59
  5. Step 5: Solve for x
    x = 717,625.59/927.07
  6. Step 6: Final answer
    x = 774.08

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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.