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Finding the Fourth Proportional to 801.24, 1,104.60 and 564.84

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Solution

The fourth proportional to 801.24, 1,104.60 and 564.84 is: 778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.24 : 1,104.60 = 564.84 : x
  2. Step 2: Convert to fraction form
    801.24/1,104.60 = 564.84/x
  3. Step 3: Cross multiply
    801.24x = 1,104.60 × 564.84
  4. Step 4: Simplify right side
    801.24x = 623,922.26
  5. Step 5: Solve for x
    x = 623,922.26/801.24
  6. Step 6: Final answer
    x = 778.70

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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.