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Finding the Fourth Proportional to 758.93, 1,047.22 and 422.81

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Solution

The fourth proportional to 758.93, 1,047.22 and 422.81 is: 583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.93 : 1,047.22 = 422.81 : x
  2. Step 2: Convert to fraction form
    758.93/1,047.22 = 422.81/x
  3. Step 3: Cross multiply
    758.93x = 1,047.22 × 422.81
  4. Step 4: Simplify right side
    758.93x = 442,775.09
  5. Step 5: Solve for x
    x = 442,775.09/758.93
  6. Step 6: Final answer
    x = 583.42

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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.