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Finding the Fourth Proportional to 857.79, 1,182.20 and 818.91

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Solution

The fourth proportional to 857.79, 1,182.20 and 818.91 is: 1,128.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.79 : 1,182.20 = 818.91 : x
  2. Step 2: Convert to fraction form
    857.79/1,182.20 = 818.91/x
  3. Step 3: Cross multiply
    857.79x = 1,182.20 × 818.91
  4. Step 4: Simplify right side
    857.79x = 968,111.31
  5. Step 5: Solve for x
    x = 968,111.31/857.79
  6. Step 6: Final answer
    x = 1,128.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.