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Finding the Fourth Proportional to 798.58, 1,102.22 and 467.11

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Solution

The fourth proportional to 798.58, 1,102.22 and 467.11 is: 644.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.58 : 1,102.22 = 467.11 : x
  2. Step 2: Convert to fraction form
    798.58/1,102.22 = 467.11/x
  3. Step 3: Cross multiply
    798.58x = 1,102.22 × 467.11
  4. Step 4: Simplify right side
    798.58x = 514,857.98
  5. Step 5: Solve for x
    x = 514,857.98/798.58
  6. Step 6: Final answer
    x = 644.72

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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.