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Finding the Fourth Proportional to 583.05, 803.75 and 386.22

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Solution

The fourth proportional to 583.05, 803.75 and 386.22 is: 532.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.05 : 803.75 = 386.22 : x
  2. Step 2: Convert to fraction form
    583.05/803.75 = 386.22/x
  3. Step 3: Cross multiply
    583.05x = 803.75 × 386.22
  4. Step 4: Simplify right side
    583.05x = 310,422.39
  5. Step 5: Solve for x
    x = 310,422.39/583.05
  6. Step 6: Final answer
    x = 532.41

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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.