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Finding the Fourth Proportional to 682.83, 942.37 and 403.15

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Solution

The fourth proportional to 682.83, 942.37 and 403.15 is: 556.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.83 : 942.37 = 403.15 : x
  2. Step 2: Convert to fraction form
    682.83/942.37 = 403.15/x
  3. Step 3: Cross multiply
    682.83x = 942.37 × 403.15
  4. Step 4: Simplify right side
    682.83x = 379,916.47
  5. Step 5: Solve for x
    x = 379,916.47/682.83
  6. Step 6: Final answer
    x = 556.39

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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.