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Finding the Fourth Proportional to 927.83, 1,279.95 and 632.63

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Solution

The fourth proportional to 927.83, 1,279.95 and 632.63 is: 872.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.83 : 1,279.95 = 632.63 : x
  2. Step 2: Convert to fraction form
    927.83/1,279.95 = 632.63/x
  3. Step 3: Cross multiply
    927.83x = 1,279.95 × 632.63
  4. Step 4: Simplify right side
    927.83x = 809,734.77
  5. Step 5: Solve for x
    x = 809,734.77/927.83
  6. Step 6: Final answer
    x = 872.72

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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.