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Finding the Fourth Proportional to 682.96, 942.54 and 434.26

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Solution

The fourth proportional to 682.96, 942.54 and 434.26 is: 599.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.96 : 942.54 = 434.26 : x
  2. Step 2: Convert to fraction form
    682.96/942.54 = 434.26/x
  3. Step 3: Cross multiply
    682.96x = 942.54 × 434.26
  4. Step 4: Simplify right side
    682.96x = 409,307.42
  5. Step 5: Solve for x
    x = 409,307.42/682.96
  6. Step 6: Final answer
    x = 599.31

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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.