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Finding the Fourth Proportional to 583.66, 805.09 and 344.45

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Solution

The fourth proportional to 583.66, 805.09 and 344.45 is: 475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.66 : 805.09 = 344.45 : x
  2. Step 2: Convert to fraction form
    583.66/805.09 = 344.45/x
  3. Step 3: Cross multiply
    583.66x = 805.09 × 344.45
  4. Step 4: Simplify right side
    583.66x = 277,315.05
  5. Step 5: Solve for x
    x = 277,315.05/583.66
  6. Step 6: Final answer
    x = 475.13

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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.