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Finding the Fourth Proportional to 945.03, 1,297.13 and 837.75

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Solution

The fourth proportional to 945.03, 1,297.13 and 837.75 is: 1,149.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.03 : 1,297.13 = 837.75 : x
  2. Step 2: Convert to fraction form
    945.03/1,297.13 = 837.75/x
  3. Step 3: Cross multiply
    945.03x = 1,297.13 × 837.75
  4. Step 4: Simplify right side
    945.03x = 1,086,670.66
  5. Step 5: Solve for x
    x = 1,086,670.66/945.03
  6. Step 6: Final answer
    x = 1,149.88

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1.5x scale

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.