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Finding the Fourth Proportional to 654.21, 902.12 and 488.16

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Solution

The fourth proportional to 654.21, 902.12 and 488.16 is: 673.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.21 : 902.12 = 488.16 : x
  2. Step 2: Convert to fraction form
    654.21/902.12 = 488.16/x
  3. Step 3: Cross multiply
    654.21x = 902.12 × 488.16
  4. Step 4: Simplify right side
    654.21x = 440,374.39
  5. Step 5: Solve for x
    x = 440,374.39/654.21
  6. Step 6: Final answer
    x = 673.14

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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.