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Finding the Fourth Proportional to 682.36, 942.08 and 446.40

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Solution

The fourth proportional to 682.36, 942.08 and 446.40 is: 616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.36 : 942.08 = 446.40 : x
  2. Step 2: Convert to fraction form
    682.36/942.08 = 446.40/x
  3. Step 3: Cross multiply
    682.36x = 942.08 × 446.40
  4. Step 4: Simplify right side
    682.36x = 420,544.51
  5. Step 5: Solve for x
    x = 420,544.51/682.36
  6. Step 6: Final answer
    x = 616.31

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1.5x scale

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.