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Finding the Fourth Proportional to 662.51, 902.87 and 660.08

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Solution

The fourth proportional to 662.51, 902.87 and 660.08 is: 899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.51 : 902.87 = 660.08 : x
  2. Step 2: Convert to fraction form
    662.51/902.87 = 660.08/x
  3. Step 3: Cross multiply
    662.51x = 902.87 × 660.08
  4. Step 4: Simplify right side
    662.51x = 595,966.43
  5. Step 5: Solve for x
    x = 595,966.43/662.51
  6. Step 6: Final answer
    x = 899.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.