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Finding the Fourth Proportional to 927.84, 1,390.68 and 516.76

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Solution

The fourth proportional to 927.84, 1,390.68 and 516.76 is: 774.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.84 : 1,390.68 = 516.76 : x
  2. Step 2: Convert to fraction form
    927.84/1,390.68 = 516.76/x
  3. Step 3: Cross multiply
    927.84x = 1,390.68 × 516.76
  4. Step 4: Simplify right side
    927.84x = 718,647.80
  5. Step 5: Solve for x
    x = 718,647.80/927.84
  6. Step 6: Final answer
    x = 774.54

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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.