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Finding the Fourth Proportional to 945.02, 1,415.67 and 727.52

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Solution

The fourth proportional to 945.02, 1,415.67 and 727.52 is: 1,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.02 : 1,415.67 = 727.52 : x
  2. Step 2: Convert to fraction form
    945.02/1,415.67 = 727.52/x
  3. Step 3: Cross multiply
    945.02x = 1,415.67 × 727.52
  4. Step 4: Simplify right side
    945.02x = 1,029,928.24
  5. Step 5: Solve for x
    x = 1,029,928.24/945.02
  6. Step 6: Final answer
    x = 1,089.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.