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Finding the Fourth Proportional to 957.70, 1,434.12 and 669.34

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Solution

The fourth proportional to 957.70, 1,434.12 and 669.34 is: 1,002.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.70 : 1,434.12 = 669.34 : x
  2. Step 2: Convert to fraction form
    957.70/1,434.12 = 669.34/x
  3. Step 3: Cross multiply
    957.70x = 1,434.12 × 669.34
  4. Step 4: Simplify right side
    957.70x = 959,913.88
  5. Step 5: Solve for x
    x = 959,913.88/957.70
  6. Step 6: Final answer
    x = 1,002.31

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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.