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Finding the Fourth Proportional to 583.45, 874.61 and 218.14

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Solution

The fourth proportional to 583.45, 874.61 and 218.14 is: 326.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.45 : 874.61 = 218.14 : x
  2. Step 2: Convert to fraction form
    583.45/874.61 = 218.14/x
  3. Step 3: Cross multiply
    583.45x = 874.61 × 218.14
  4. Step 4: Simplify right side
    583.45x = 190,782.51
  5. Step 5: Solve for x
    x = 190,782.51/583.45
  6. Step 6: Final answer
    x = 326.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.