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Finding the Fourth Proportional to 945.75, 1,305.15 and 553.05

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Solution

The fourth proportional to 945.75, 1,305.15 and 553.05 is: 763.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.75 : 1,305.15 = 553.05 : x
  2. Step 2: Convert to fraction form
    945.75/1,305.15 = 553.05/x
  3. Step 3: Cross multiply
    945.75x = 1,305.15 × 553.05
  4. Step 4: Simplify right side
    945.75x = 721,813.21
  5. Step 5: Solve for x
    x = 721,813.21/945.75
  6. Step 6: Final answer
    x = 763.22

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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.