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Finding the Fourth Proportional to 927.11, 1,390.61 and 511.45

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Solution

The fourth proportional to 927.11, 1,390.61 and 511.45 is: 767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.11 : 1,390.61 = 511.45 : x
  2. Step 2: Convert to fraction form
    927.11/1,390.61 = 511.45/x
  3. Step 3: Cross multiply
    927.11x = 1,390.61 × 511.45
  4. Step 4: Simplify right side
    927.11x = 711,221.45
  5. Step 5: Solve for x
    x = 711,221.45/927.11
  6. Step 6: Final answer
    x = 767.14

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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.