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Finding the Fourth Proportional to 999.41, 1,374.60 and 802.49

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Solution

The fourth proportional to 999.41, 1,374.60 and 802.49 is: 1,103.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.41 : 1,374.60 = 802.49 : x
  2. Step 2: Convert to fraction form
    999.41/1,374.60 = 802.49/x
  3. Step 3: Cross multiply
    999.41x = 1,374.60 × 802.49
  4. Step 4: Simplify right side
    999.41x = 1,103,095.88
  5. Step 5: Solve for x
    x = 1,103,095.88/999.41
  6. Step 6: Final answer
    x = 1,103.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.