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Finding the Fourth Proportional to 957.87, 1,436.21 and 728.25

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Solution

The fourth proportional to 957.87, 1,436.21 and 728.25 is: 1,091.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.87 : 1,436.21 = 728.25 : x
  2. Step 2: Convert to fraction form
    957.87/1,436.21 = 728.25/x
  3. Step 3: Cross multiply
    957.87x = 1,436.21 × 728.25
  4. Step 4: Simplify right side
    957.87x = 1,045,916.29
  5. Step 5: Solve for x
    x = 1,045,916.29/957.87
  6. Step 6: Final answer
    x = 1,091.92

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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.