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Finding the Fourth Proportional to 583.06, 804.06 and 386.23

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Solution

The fourth proportional to 583.06, 804.06 and 386.23 is: 532.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.06 : 804.06 = 386.23 : x
  2. Step 2: Convert to fraction form
    583.06/804.06 = 386.23/x
  3. Step 3: Cross multiply
    583.06x = 804.06 × 386.23
  4. Step 4: Simplify right side
    583.06x = 310,552.09
  5. Step 5: Solve for x
    x = 310,552.09/583.06
  6. Step 6: Final answer
    x = 532.62

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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.