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Finding the Fourth Proportional to 945.78, 1,305.17 and 552.98

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Solution

The fourth proportional to 945.78, 1,305.17 and 552.98 is: 763.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.78 : 1,305.17 = 552.98 : x
  2. Step 2: Convert to fraction form
    945.78/1,305.17 = 552.98/x
  3. Step 3: Cross multiply
    945.78x = 1,305.17 × 552.98
  4. Step 4: Simplify right side
    945.78x = 721,732.91
  5. Step 5: Solve for x
    x = 721,732.91/945.78
  6. Step 6: Final answer
    x = 763.11

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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.