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Finding the Fourth Proportional to 802.94, 1,203.36 and 412.61

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Solution

The fourth proportional to 802.94, 1,203.36 and 412.61 is: 618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.94 : 1,203.36 = 412.61 : x
  2. Step 2: Convert to fraction form
    802.94/1,203.36 = 412.61/x
  3. Step 3: Cross multiply
    802.94x = 1,203.36 × 412.61
  4. Step 4: Simplify right side
    802.94x = 496,518.37
  5. Step 5: Solve for x
    x = 496,518.37/802.94
  6. Step 6: Final answer
    x = 618.38

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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.