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Finding the Fourth Proportional to 1,029.98, 1,420.22 and 656.36

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Solution

The fourth proportional to 1,029.98, 1,420.22 and 656.36 is: 905.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.98 : 1,420.22 = 656.36 : x
  2. Step 2: Convert to fraction form
    1,029.98/1,420.22 = 656.36/x
  3. Step 3: Cross multiply
    1,029.98x = 1,420.22 × 656.36
  4. Step 4: Simplify right side
    1,029.98x = 932,175.60
  5. Step 5: Solve for x
    x = 932,175.60/1,029.98
  6. Step 6: Final answer
    x = 905.04

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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.