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Finding the Fourth Proportional to 807.75, 1,211.93 and 802.89

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Solution

The fourth proportional to 807.75, 1,211.93 and 802.89 is: 1,204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.75 : 1,211.93 = 802.89 : x
  2. Step 2: Convert to fraction form
    807.75/1,211.93 = 802.89/x
  3. Step 3: Cross multiply
    807.75x = 1,211.93 × 802.89
  4. Step 4: Simplify right side
    807.75x = 973,046.48
  5. Step 5: Solve for x
    x = 973,046.48/807.75
  6. Step 6: Final answer
    x = 1,204.64

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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.