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Finding the Fourth Proportional to 927.78, 1,279.93 and 578.67

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Solution

The fourth proportional to 927.78, 1,279.93 and 578.67 is: 798.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.78 : 1,279.93 = 578.67 : x
  2. Step 2: Convert to fraction form
    927.78/1,279.93 = 578.67/x
  3. Step 3: Cross multiply
    927.78x = 1,279.93 × 578.67
  4. Step 4: Simplify right side
    927.78x = 740,657.09
  5. Step 5: Solve for x
    x = 740,657.09/927.78
  6. Step 6: Final answer
    x = 798.31

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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.