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Finding the Fourth Proportional to 583.38, 805.14 and 334.74

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Solution

The fourth proportional to 583.38, 805.14 and 334.74 is: 461.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.38 : 805.14 = 334.74 : x
  2. Step 2: Convert to fraction form
    583.38/805.14 = 334.74/x
  3. Step 3: Cross multiply
    583.38x = 805.14 × 334.74
  4. Step 4: Simplify right side
    583.38x = 269,512.56
  5. Step 5: Solve for x
    x = 269,512.56/583.38
  6. Step 6: Final answer
    x = 461.98

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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.