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Finding the Fourth Proportional to 635.17, 874.79 and 589.81

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Solution

The fourth proportional to 635.17, 874.79 and 589.81 is: 812.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.17 : 874.79 = 589.81 : x
  2. Step 2: Convert to fraction form
    635.17/874.79 = 589.81/x
  3. Step 3: Cross multiply
    635.17x = 874.79 × 589.81
  4. Step 4: Simplify right side
    635.17x = 515,956.94
  5. Step 5: Solve for x
    x = 515,956.94/635.17
  6. Step 6: Final answer
    x = 812.31

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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.