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Finding the Fourth Proportional to 802.06, 1,202.32 and 411.91

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Solution

The fourth proportional to 802.06, 1,202.32 and 411.91 is: 617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.06 : 1,202.32 = 411.91 : x
  2. Step 2: Convert to fraction form
    802.06/1,202.32 = 411.91/x
  3. Step 3: Cross multiply
    802.06x = 1,202.32 × 411.91
  4. Step 4: Simplify right side
    802.06x = 495,247.63
  5. Step 5: Solve for x
    x = 495,247.63/802.06
  6. Step 6: Final answer
    x = 617.47

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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.