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Finding the Fourth Proportional to 857.22, 1,283.78 and 661.77

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Solution

The fourth proportional to 857.22, 1,283.78 and 661.77 is: 991.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.22 : 1,283.78 = 661.77 : x
  2. Step 2: Convert to fraction form
    857.22/1,283.78 = 661.77/x
  3. Step 3: Cross multiply
    857.22x = 1,283.78 × 661.77
  4. Step 4: Simplify right side
    857.22x = 849,568.75
  5. Step 5: Solve for x
    x = 849,568.75/857.22
  6. Step 6: Final answer
    x = 991.08

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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.