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Finding the Fourth Proportional to 654.14, 902.40 and 607.70

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Solution

The fourth proportional to 654.14, 902.40 and 607.70 is: 838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.14 : 902.40 = 607.70 : x
  2. Step 2: Convert to fraction form
    654.14/902.40 = 607.70/x
  3. Step 3: Cross multiply
    654.14x = 902.40 × 607.70
  4. Step 4: Simplify right side
    654.14x = 548,388.48
  5. Step 5: Solve for x
    x = 548,388.48/654.14
  6. Step 6: Final answer
    x = 838.34

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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.