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Finding the Fourth Proportional to 979.63, 1,469.54 and 286.31

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Solution

The fourth proportional to 979.63, 1,469.54 and 286.31 is: 429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.63 : 1,469.54 = 286.31 : x
  2. Step 2: Convert to fraction form
    979.63/1,469.54 = 286.31/x
  3. Step 3: Cross multiply
    979.63x = 1,469.54 × 286.31
  4. Step 4: Simplify right side
    979.63x = 420,744.00
  5. Step 5: Solve for x
    x = 420,744.00/979.63
  6. Step 6: Final answer
    x = 429.49

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Double scale
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1.5x scale

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.