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Finding the Fourth Proportional to 844.12, 1,267.50 and 802.96

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Solution

The fourth proportional to 844.12, 1,267.50 and 802.96 is: 1,205.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.12 : 1,267.50 = 802.96 : x
  2. Step 2: Convert to fraction form
    844.12/1,267.50 = 802.96/x
  3. Step 3: Cross multiply
    844.12x = 1,267.50 × 802.96
  4. Step 4: Simplify right side
    844.12x = 1,017,751.80
  5. Step 5: Solve for x
    x = 1,017,751.80/844.12
  6. Step 6: Final answer
    x = 1,205.70

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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.