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Finding the Fourth Proportional to 979.25, 1,468.05 and 670.35

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Solution

The fourth proportional to 979.25, 1,468.05 and 670.35 is: 1,004.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.25 : 1,468.05 = 670.35 : x
  2. Step 2: Convert to fraction form
    979.25/1,468.05 = 670.35/x
  3. Step 3: Cross multiply
    979.25x = 1,468.05 × 670.35
  4. Step 4: Simplify right side
    979.25x = 984,107.32
  5. Step 5: Solve for x
    x = 984,107.32/979.25
  6. Step 6: Final answer
    x = 1,004.96

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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.