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Finding the Fourth Proportional to 932.22, 1,286.43 and 558.98

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Solution

The fourth proportional to 932.22, 1,286.43 and 558.98 is: 771.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.22 : 1,286.43 = 558.98 : x
  2. Step 2: Convert to fraction form
    932.22/1,286.43 = 558.98/x
  3. Step 3: Cross multiply
    932.22x = 1,286.43 × 558.98
  4. Step 4: Simplify right side
    932.22x = 719,088.64
  5. Step 5: Solve for x
    x = 719,088.64/932.22
  6. Step 6: Final answer
    x = 771.37

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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.