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Finding the Fourth Proportional to 583.01, 873.89 and 274.60

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Solution

The fourth proportional to 583.01, 873.89 and 274.60 is: 411.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.01 : 873.89 = 274.60 : x
  2. Step 2: Convert to fraction form
    583.01/873.89 = 274.60/x
  3. Step 3: Cross multiply
    583.01x = 873.89 × 274.60
  4. Step 4: Simplify right side
    583.01x = 239,970.19
  5. Step 5: Solve for x
    x = 239,970.19/583.01
  6. Step 6: Final answer
    x = 411.61

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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.