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Finding the Fourth Proportional to 1,029.64, 1,420.90 and 636.68

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Solution

The fourth proportional to 1,029.64, 1,420.90 and 636.68 is: 878.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.64 : 1,420.90 = 636.68 : x
  2. Step 2: Convert to fraction form
    1,029.64/1,420.90 = 636.68/x
  3. Step 3: Cross multiply
    1,029.64x = 1,420.90 × 636.68
  4. Step 4: Simplify right side
    1,029.64x = 904,658.61
  5. Step 5: Solve for x
    x = 904,658.61/1,029.64
  6. Step 6: Final answer
    x = 878.62

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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.