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Finding the Fourth Proportional to 1,029.55, 1,421.04 and 636.34

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Solution

The fourth proportional to 1,029.55, 1,421.04 and 636.34 is: 878.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.55 : 1,421.04 = 636.34 : x
  2. Step 2: Convert to fraction form
    1,029.55/1,421.04 = 636.34/x
  3. Step 3: Cross multiply
    1,029.55x = 1,421.04 × 636.34
  4. Step 4: Simplify right side
    1,029.55x = 904,261.41
  5. Step 5: Solve for x
    x = 904,261.41/1,029.55
  6. Step 6: Final answer
    x = 878.31

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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.