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Finding the Fourth Proportional to 583.61, 804.80 and 394.34

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Solution

The fourth proportional to 583.61, 804.80 and 394.34 is: 543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.61 : 804.80 = 394.34 : x
  2. Step 2: Convert to fraction form
    583.61/804.80 = 394.34/x
  3. Step 3: Cross multiply
    583.61x = 804.80 × 394.34
  4. Step 4: Simplify right side
    583.61x = 317,361.79
  5. Step 5: Solve for x
    x = 317,361.79/583.61
  6. Step 6: Final answer
    x = 543.80

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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.