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Finding the Fourth Proportional to 851.93, 1,278.21 and 440.81

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Solution

The fourth proportional to 851.93, 1,278.21 and 440.81 is: 661.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.93 : 1,278.21 = 440.81 : x
  2. Step 2: Convert to fraction form
    851.93/1,278.21 = 440.81/x
  3. Step 3: Cross multiply
    851.93x = 1,278.21 × 440.81
  4. Step 4: Simplify right side
    851.93x = 563,447.81
  5. Step 5: Solve for x
    x = 563,447.81/851.93
  6. Step 6: Final answer
    x = 661.38

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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.