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Finding the Fourth Proportional to 758.84, 1,047.17 and 422.74

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Solution

The fourth proportional to 758.84, 1,047.17 and 422.74 is: 583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.84 : 1,047.17 = 422.74 : x
  2. Step 2: Convert to fraction form
    758.84/1,047.17 = 422.74/x
  3. Step 3: Cross multiply
    758.84x = 1,047.17 × 422.74
  4. Step 4: Simplify right side
    758.84x = 442,679.08
  5. Step 5: Solve for x
    x = 442,679.08/758.84
  6. Step 6: Final answer
    x = 583.37

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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.