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Finding the Fourth Proportional to 583.01, 804.44 and 386.42

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Solution

The fourth proportional to 583.01, 804.44 and 386.42 is: 533.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.01 : 804.44 = 386.42 : x
  2. Step 2: Convert to fraction form
    583.01/804.44 = 386.42/x
  3. Step 3: Cross multiply
    583.01x = 804.44 × 386.42
  4. Step 4: Simplify right side
    583.01x = 310,845.75
  5. Step 5: Solve for x
    x = 310,845.75/583.01
  6. Step 6: Final answer
    x = 533.18

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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.