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Finding the Fourth Proportional to 807.78, 1,211.70 and 368.94

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Solution

The fourth proportional to 807.78, 1,211.70 and 368.94 is: 553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.78 : 1,211.70 = 368.94 : x
  2. Step 2: Convert to fraction form
    807.78/1,211.70 = 368.94/x
  3. Step 3: Cross multiply
    807.78x = 1,211.70 × 368.94
  4. Step 4: Simplify right side
    807.78x = 447,044.60
  5. Step 5: Solve for x
    x = 447,044.60/807.78
  6. Step 6: Final answer
    x = 553.42

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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.