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Finding the Fourth Proportional to 957.81, 1,436.75 and 264.49

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Solution

The fourth proportional to 957.81, 1,436.75 and 264.49 is: 396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.81 : 1,436.75 = 264.49 : x
  2. Step 2: Convert to fraction form
    957.81/1,436.75 = 264.49/x
  3. Step 3: Cross multiply
    957.81x = 1,436.75 × 264.49
  4. Step 4: Simplify right side
    957.81x = 380,006.01
  5. Step 5: Solve for x
    x = 380,006.01/957.81
  6. Step 6: Final answer
    x = 396.74

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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.