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Finding the Fourth Proportional to 802.41, 1,203.04 and 411.65

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Solution

The fourth proportional to 802.41, 1,203.04 and 411.65 is: 617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.41 : 1,203.04 = 411.65 : x
  2. Step 2: Convert to fraction form
    802.41/1,203.04 = 411.65/x
  3. Step 3: Cross multiply
    802.41x = 1,203.04 × 411.65
  4. Step 4: Simplify right side
    802.41x = 495,231.42
  5. Step 5: Solve for x
    x = 495,231.42/802.41
  6. Step 6: Final answer
    x = 617.18

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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.