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Finding the Fourth Proportional to 1,307.89, 1,961.84 and 442.81

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Solution

The fourth proportional to 1,307.89, 1,961.84 and 442.81 is: 664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.89 : 1,961.84 = 442.81 : x
  2. Step 2: Convert to fraction form
    1,307.89/1,961.84 = 442.81/x
  3. Step 3: Cross multiply
    1,307.89x = 1,961.84 × 442.81
  4. Step 4: Simplify right side
    1,307.89x = 868,722.37
  5. Step 5: Solve for x
    x = 868,722.37/1,307.89
  6. Step 6: Final answer
    x = 664.22

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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.