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Finding the Fourth Proportional to 979.24, 1,352.55 and 792.94

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Solution

The fourth proportional to 979.24, 1,352.55 and 792.94 is: 1,095.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.24 : 1,352.55 = 792.94 : x
  2. Step 2: Convert to fraction form
    979.24/1,352.55 = 792.94/x
  3. Step 3: Cross multiply
    979.24x = 1,352.55 × 792.94
  4. Step 4: Simplify right side
    979.24x = 1,072,491.00
  5. Step 5: Solve for x
    x = 1,072,491.00/979.24
  6. Step 6: Final answer
    x = 1,095.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.