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Finding the Fourth Proportional to 583.38, 804.78 and 386.64

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Solution

The fourth proportional to 583.38, 804.78 and 386.64 is: 533.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.38 : 804.78 = 386.64 : x
  2. Step 2: Convert to fraction form
    583.38/804.78 = 386.64/x
  3. Step 3: Cross multiply
    583.38x = 804.78 × 386.64
  4. Step 4: Simplify right side
    583.38x = 311,160.14
  5. Step 5: Solve for x
    x = 311,160.14/583.38
  6. Step 6: Final answer
    x = 533.37

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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.