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Finding the Fourth Proportional to 648.05, 971.59 and 323.65

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Solution

The fourth proportional to 648.05, 971.59 and 323.65 is: 485.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.05 : 971.59 = 323.65 : x
  2. Step 2: Convert to fraction form
    648.05/971.59 = 323.65/x
  3. Step 3: Cross multiply
    648.05x = 971.59 × 323.65
  4. Step 4: Simplify right side
    648.05x = 314,455.10
  5. Step 5: Solve for x
    x = 314,455.10/648.05
  6. Step 6: Final answer
    x = 485.23

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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.