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Finding the Fourth Proportional to 583.51, 878.71 and 422.32

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Solution

The fourth proportional to 583.51, 878.71 and 422.32 is: 635.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.51 : 878.71 = 422.32 : x
  2. Step 2: Convert to fraction form
    583.51/878.71 = 422.32/x
  3. Step 3: Cross multiply
    583.51x = 878.71 × 422.32
  4. Step 4: Simplify right side
    583.51x = 371,096.81
  5. Step 5: Solve for x
    x = 371,096.81/583.51
  6. Step 6: Final answer
    x = 635.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.