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Finding the Fourth Proportional to 945.78, 1,305.26 and 552.93

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Solution

The fourth proportional to 945.78, 1,305.26 and 552.93 is: 763.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.78 : 1,305.26 = 552.93 : x
  2. Step 2: Convert to fraction form
    945.78/1,305.26 = 552.93/x
  3. Step 3: Cross multiply
    945.78x = 1,305.26 × 552.93
  4. Step 4: Simplify right side
    945.78x = 721,717.41
  5. Step 5: Solve for x
    x = 721,717.41/945.78
  6. Step 6: Final answer
    x = 763.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.