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Finding the Fourth Proportional to 802.66, 1,203.42 and 411.90

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Solution

The fourth proportional to 802.66, 1,203.42 and 411.90 is: 617.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.66 : 1,203.42 = 411.90 : x
  2. Step 2: Convert to fraction form
    802.66/1,203.42 = 411.90/x
  3. Step 3: Cross multiply
    802.66x = 1,203.42 × 411.90
  4. Step 4: Simplify right side
    802.66x = 495,688.70
  5. Step 5: Solve for x
    x = 495,688.70/802.66
  6. Step 6: Final answer
    x = 617.56

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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.