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Finding the Fourth Proportional to 1,029.46, 1,421.21 and 636.72

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Solution

The fourth proportional to 1,029.46, 1,421.21 and 636.72 is: 879.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.46 : 1,421.21 = 636.72 : x
  2. Step 2: Convert to fraction form
    1,029.46/1,421.21 = 636.72/x
  3. Step 3: Cross multiply
    1,029.46x = 1,421.21 × 636.72
  4. Step 4: Simplify right side
    1,029.46x = 904,912.83
  5. Step 5: Solve for x
    x = 904,912.83/1,029.46
  6. Step 6: Final answer
    x = 879.02

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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.