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Finding the Fourth Proportional to 945.73, 1,305.62 and 666.82

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Solution

The fourth proportional to 945.73, 1,305.62 and 666.82 is: 920.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.73 : 1,305.62 = 666.82 : x
  2. Step 2: Convert to fraction form
    945.73/1,305.62 = 666.82/x
  3. Step 3: Cross multiply
    945.73x = 1,305.62 × 666.82
  4. Step 4: Simplify right side
    945.73x = 870,613.53
  5. Step 5: Solve for x
    x = 870,613.53/945.73
  6. Step 6: Final answer
    x = 920.57

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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.