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Finding the Fourth Proportional to 802.19, 1,107.53 and 615.33

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Solution

The fourth proportional to 802.19, 1,107.53 and 615.33 is: 849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.19 : 1,107.53 = 615.33 : x
  2. Step 2: Convert to fraction form
    802.19/1,107.53 = 615.33/x
  3. Step 3: Cross multiply
    802.19x = 1,107.53 × 615.33
  4. Step 4: Simplify right side
    802.19x = 681,496.43
  5. Step 5: Solve for x
    x = 681,496.43/802.19
  6. Step 6: Final answer
    x = 849.54

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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.