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Finding the Fourth Proportional to 800.26, 1,104.68 and 564.55

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Solution

The fourth proportional to 800.26, 1,104.68 and 564.55 is: 779.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.26 : 1,104.68 = 564.55 : x
  2. Step 2: Convert to fraction form
    800.26/1,104.68 = 564.55/x
  3. Step 3: Cross multiply
    800.26x = 1,104.68 × 564.55
  4. Step 4: Simplify right side
    800.26x = 623,641.51
  5. Step 5: Solve for x
    x = 623,641.51/800.26
  6. Step 6: Final answer
    x = 779.30

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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.