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Finding the Fourth Proportional to 802.19, 1,202.86 and 412.03

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Solution

The fourth proportional to 802.19, 1,202.86 and 412.03 is: 617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.19 : 1,202.86 = 412.03 : x
  2. Step 2: Convert to fraction form
    802.19/1,202.86 = 412.03/x
  3. Step 3: Cross multiply
    802.19x = 1,202.86 × 412.03
  4. Step 4: Simplify right side
    802.19x = 495,614.41
  5. Step 5: Solve for x
    x = 495,614.41/802.19
  6. Step 6: Final answer
    x = 617.83

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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.