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Finding the Fourth Proportional to 1,645.75, 2,270.98 and 937.63

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Solution

The fourth proportional to 1,645.75, 2,270.98 and 937.63 is: 1,293.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.75 : 2,270.98 = 937.63 : x
  2. Step 2: Convert to fraction form
    1,645.75/2,270.98 = 937.63/x
  3. Step 3: Cross multiply
    1,645.75x = 2,270.98 × 937.63
  4. Step 4: Simplify right side
    1,645.75x = 2,129,330.96
  5. Step 5: Solve for x
    x = 2,129,330.96/1,645.75
  6. Step 6: Final answer
    x = 1,293.84

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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.