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Finding the Fourth Proportional to 1,029.26, 1,420.25 and 656.09

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Solution

The fourth proportional to 1,029.26, 1,420.25 and 656.09 is: 905.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.26 : 1,420.25 = 656.09 : x
  2. Step 2: Convert to fraction form
    1,029.26/1,420.25 = 656.09/x
  3. Step 3: Cross multiply
    1,029.26x = 1,420.25 × 656.09
  4. Step 4: Simplify right side
    1,029.26x = 931,801.44
  5. Step 5: Solve for x
    x = 931,801.44/1,029.26
  6. Step 6: Final answer
    x = 905.32

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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.