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Finding the Fourth Proportional to 1,026.09, 1,537.38 and 564.25

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Solution

The fourth proportional to 1,026.09, 1,537.38 and 564.25 is: 845.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.09 : 1,537.38 = 564.25 : x
  2. Step 2: Convert to fraction form
    1,026.09/1,537.38 = 564.25/x
  3. Step 3: Cross multiply
    1,026.09x = 1,537.38 × 564.25
  4. Step 4: Simplify right side
    1,026.09x = 867,466.67
  5. Step 5: Solve for x
    x = 867,466.67/1,026.09
  6. Step 6: Final answer
    x = 845.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.