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Finding the Fourth Proportional to 967.69, 1,450.89 and 351.31

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Solution

The fourth proportional to 967.69, 1,450.89 and 351.31 is: 526.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.69 : 1,450.89 = 351.31 : x
  2. Step 2: Convert to fraction form
    967.69/1,450.89 = 351.31/x
  3. Step 3: Cross multiply
    967.69x = 1,450.89 × 351.31
  4. Step 4: Simplify right side
    967.69x = 509,714.91
  5. Step 5: Solve for x
    x = 509,714.91/967.69
  6. Step 6: Final answer
    x = 526.74

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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.