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Finding the Fourth Proportional to 957.34, 1,436.07 and 299.31

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Solution

The fourth proportional to 957.34, 1,436.07 and 299.31 is: 448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.34 : 1,436.07 = 299.31 : x
  2. Step 2: Convert to fraction form
    957.34/1,436.07 = 299.31/x
  3. Step 3: Cross multiply
    957.34x = 1,436.07 × 299.31
  4. Step 4: Simplify right side
    957.34x = 429,833.70
  5. Step 5: Solve for x
    x = 429,833.70/957.34
  6. Step 6: Final answer
    x = 448.99

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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.