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Finding the Fourth Proportional to 583.41, 875.28 and 172.55

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Solution

The fourth proportional to 583.41, 875.28 and 172.55 is: 258.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.41 : 875.28 = 172.55 : x
  2. Step 2: Convert to fraction form
    583.41/875.28 = 172.55/x
  3. Step 3: Cross multiply
    583.41x = 875.28 × 172.55
  4. Step 4: Simplify right side
    583.41x = 151,025.19
  5. Step 5: Solve for x
    x = 151,025.19/583.41
  6. Step 6: Final answer
    x = 258.87

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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.