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Finding the Fourth Proportional to 957.77, 1,436.90 and 308.57

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Solution

The fourth proportional to 957.77, 1,436.90 and 308.57 is: 462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.77 : 1,436.90 = 308.57 : x
  2. Step 2: Convert to fraction form
    957.77/1,436.90 = 308.57/x
  3. Step 3: Cross multiply
    957.77x = 1,436.90 × 308.57
  4. Step 4: Simplify right side
    957.77x = 443,382.69
  5. Step 5: Solve for x
    x = 443,382.69/957.77
  6. Step 6: Final answer
    x = 462.93

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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.