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Finding the Fourth Proportional to 589.63, 883.72 and 242.75

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Solution

The fourth proportional to 589.63, 883.72 and 242.75 is: 363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.63 : 883.72 = 242.75 : x
  2. Step 2: Convert to fraction form
    589.63/883.72 = 242.75/x
  3. Step 3: Cross multiply
    589.63x = 883.72 × 242.75
  4. Step 4: Simplify right side
    589.63x = 214,517.40
  5. Step 5: Solve for x
    x = 214,517.40/589.63
  6. Step 6: Final answer
    x = 363.82

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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.