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Finding the Fourth Proportional to 654.37, 901.50 and 488.27

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Solution

The fourth proportional to 654.37, 901.50 and 488.27 is: 672.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.37 : 901.50 = 488.27 : x
  2. Step 2: Convert to fraction form
    654.37/901.50 = 488.27/x
  3. Step 3: Cross multiply
    654.37x = 901.50 × 488.27
  4. Step 4: Simplify right side
    654.37x = 440,175.41
  5. Step 5: Solve for x
    x = 440,175.41/654.37
  6. Step 6: Final answer
    x = 672.67

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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.