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Finding the Fourth Proportional to 970.69, 1,453.43 and 579.73

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Solution

The fourth proportional to 970.69, 1,453.43 and 579.73 is: 868.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.69 : 1,453.43 = 579.73 : x
  2. Step 2: Convert to fraction form
    970.69/1,453.43 = 579.73/x
  3. Step 3: Cross multiply
    970.69x = 1,453.43 × 579.73
  4. Step 4: Simplify right side
    970.69x = 842,596.97
  5. Step 5: Solve for x
    x = 842,596.97/970.69
  6. Step 6: Final answer
    x = 868.04

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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.