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Finding the Fourth Proportional to 758.92, 1,047.36 and 422.84

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Solution

The fourth proportional to 758.92, 1,047.36 and 422.84 is: 583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.92 : 1,047.36 = 422.84 : x
  2. Step 2: Convert to fraction form
    758.92/1,047.36 = 422.84/x
  3. Step 3: Cross multiply
    758.92x = 1,047.36 × 422.84
  4. Step 4: Simplify right side
    758.92x = 442,866.21
  5. Step 5: Solve for x
    x = 442,866.21/758.92
  6. Step 6: Final answer
    x = 583.55

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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.