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Finding the Fourth Proportional to 945.64, 1,305 and 525.97

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Solution

The fourth proportional to 945.64, 1,305 and 525.97 is: 725.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.64 : 1,305 = 525.97 : x
  2. Step 2: Convert to fraction form
    945.64/1,305 = 525.97/x
  3. Step 3: Cross multiply
    945.64x = 1,305 × 525.97
  4. Step 4: Simplify right side
    945.64x = 686,390.85
  5. Step 5: Solve for x
    x = 686,390.85/945.64
  6. Step 6: Final answer
    x = 725.85

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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.