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Finding the Fourth Proportional to 583.45, 805.10 and 334.71

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Solution

The fourth proportional to 583.45, 805.10 and 334.71 is: 461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.45 : 805.10 = 334.71 : x
  2. Step 2: Convert to fraction form
    583.45/805.10 = 334.71/x
  3. Step 3: Cross multiply
    583.45x = 805.10 × 334.71
  4. Step 4: Simplify right side
    583.45x = 269,473.35
  5. Step 5: Solve for x
    x = 269,473.35/583.45
  6. Step 6: Final answer
    x = 461.86

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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.