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Finding the Fourth Proportional to 926.74, 1,279.15 and 612.23

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Solution

The fourth proportional to 926.74, 1,279.15 and 612.23 is: 845.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.74 : 1,279.15 = 612.23 : x
  2. Step 2: Convert to fraction form
    926.74/1,279.15 = 612.23/x
  3. Step 3: Cross multiply
    926.74x = 1,279.15 × 612.23
  4. Step 4: Simplify right side
    926.74x = 783,134.00
  5. Step 5: Solve for x
    x = 783,134.00/926.74
  6. Step 6: Final answer
    x = 845.04

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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.