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Finding the Fourth Proportional to 1,287.63, 1,931.45 and 363.21

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Solution

The fourth proportional to 1,287.63, 1,931.45 and 363.21 is: 544.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.63 : 1,931.45 = 363.21 : x
  2. Step 2: Convert to fraction form
    1,287.63/1,931.45 = 363.21/x
  3. Step 3: Cross multiply
    1,287.63x = 1,931.45 × 363.21
  4. Step 4: Simplify right side
    1,287.63x = 701,518.33
  5. Step 5: Solve for x
    x = 701,518.33/1,287.63
  6. Step 6: Final answer
    x = 544.81

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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.