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Finding the Fourth Proportional to 927.05, 1,278.72 and 594.95

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Solution

The fourth proportional to 927.05, 1,278.72 and 594.95 is: 820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.05 : 1,278.72 = 594.95 : x
  2. Step 2: Convert to fraction form
    927.05/1,278.72 = 594.95/x
  3. Step 3: Cross multiply
    927.05x = 1,278.72 × 594.95
  4. Step 4: Simplify right side
    927.05x = 760,768.07
  5. Step 5: Solve for x
    x = 760,768.07/927.05
  6. Step 6: Final answer
    x = 820.64

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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.