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Finding the Fourth Proportional to 583.13, 874.56 and 172.16

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Solution

The fourth proportional to 583.13, 874.56 and 172.16 is: 258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.13 : 874.56 = 172.16 : x
  2. Step 2: Convert to fraction form
    583.13/874.56 = 172.16/x
  3. Step 3: Cross multiply
    583.13x = 874.56 × 172.16
  4. Step 4: Simplify right side
    583.13x = 150,559.02
  5. Step 5: Solve for x
    x = 150,559.02/583.13
  6. Step 6: Final answer
    x = 258.19

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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.