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Finding the Fourth Proportional to 650.56, 898.75 and 427.03

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Solution

The fourth proportional to 650.56, 898.75 and 427.03 is: 589.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.56 : 898.75 = 427.03 : x
  2. Step 2: Convert to fraction form
    650.56/898.75 = 427.03/x
  3. Step 3: Cross multiply
    650.56x = 898.75 × 427.03
  4. Step 4: Simplify right side
    650.56x = 383,793.21
  5. Step 5: Solve for x
    x = 383,793.21/650.56
  6. Step 6: Final answer
    x = 589.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.