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Finding the Fourth Proportional to 657.96, 902.10 and 646.26

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Solution

The fourth proportional to 657.96, 902.10 and 646.26 is: 886.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.96 : 902.10 = 646.26 : x
  2. Step 2: Convert to fraction form
    657.96/902.10 = 646.26/x
  3. Step 3: Cross multiply
    657.96x = 902.10 × 646.26
  4. Step 4: Simplify right side
    657.96x = 582,991.15
  5. Step 5: Solve for x
    x = 582,991.15/657.96
  6. Step 6: Final answer
    x = 886.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.