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Finding the Fourth Proportional to 843.48, 1,162.98 and 654.48

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Solution

The fourth proportional to 843.48, 1,162.98 and 654.48 is: 902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.48 : 1,162.98 = 654.48 : x
  2. Step 2: Convert to fraction form
    843.48/1,162.98 = 654.48/x
  3. Step 3: Cross multiply
    843.48x = 1,162.98 × 654.48
  4. Step 4: Simplify right side
    843.48x = 761,147.15
  5. Step 5: Solve for x
    x = 761,147.15/843.48
  6. Step 6: Final answer
    x = 902.39

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Double scale
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1.5x scale

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.