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Finding the Fourth Proportional to 583.01, 873.07 and 338.79

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Solution

The fourth proportional to 583.01, 873.07 and 338.79 is: 507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.01 : 873.07 = 338.79 : x
  2. Step 2: Convert to fraction form
    583.01/873.07 = 338.79/x
  3. Step 3: Cross multiply
    583.01x = 873.07 × 338.79
  4. Step 4: Simplify right side
    583.01x = 295,787.39
  5. Step 5: Solve for x
    x = 295,787.39/583.01
  6. Step 6: Final answer
    x = 507.35

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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.