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Finding the Fourth Proportional to 945.83, 1,305.71 and 889.74

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Solution

The fourth proportional to 945.83, 1,305.71 and 889.74 is: 1,228.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.83 : 1,305.71 = 889.74 : x
  2. Step 2: Convert to fraction form
    945.83/1,305.71 = 889.74/x
  3. Step 3: Cross multiply
    945.83x = 1,305.71 × 889.74
  4. Step 4: Simplify right side
    945.83x = 1,161,737.97
  5. Step 5: Solve for x
    x = 1,161,737.97/945.83
  6. Step 6: Final answer
    x = 1,228.28

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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.