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Finding the Fourth Proportional to 945.77, 1,300.11 and 845.13

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Solution

The fourth proportional to 945.77, 1,300.11 and 845.13 is: 1,161.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.77 : 1,300.11 = 845.13 : x
  2. Step 2: Convert to fraction form
    945.77/1,300.11 = 845.13/x
  3. Step 3: Cross multiply
    945.77x = 1,300.11 × 845.13
  4. Step 4: Simplify right side
    945.77x = 1,098,761.96
  5. Step 5: Solve for x
    x = 1,098,761.96/945.77
  6. Step 6: Final answer
    x = 1,161.76

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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.