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Finding the Fourth Proportional to 804.26, 1,109.60 and 509.48

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Solution

The fourth proportional to 804.26, 1,109.60 and 509.48 is: 702.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.26 : 1,109.60 = 509.48 : x
  2. Step 2: Convert to fraction form
    804.26/1,109.60 = 509.48/x
  3. Step 3: Cross multiply
    804.26x = 1,109.60 × 509.48
  4. Step 4: Simplify right side
    804.26x = 565,319.01
  5. Step 5: Solve for x
    x = 565,319.01/804.26
  6. Step 6: Final answer
    x = 702.91

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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.