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Finding the Fourth Proportional to 967.91, 1,450.53 and 556.20

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Solution

The fourth proportional to 967.91, 1,450.53 and 556.20 is: 833.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.91 : 1,450.53 = 556.20 : x
  2. Step 2: Convert to fraction form
    967.91/1,450.53 = 556.20/x
  3. Step 3: Cross multiply
    967.91x = 1,450.53 × 556.20
  4. Step 4: Simplify right side
    967.91x = 806,784.79
  5. Step 5: Solve for x
    x = 806,784.79/967.91
  6. Step 6: Final answer
    x = 833.54

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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.