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Finding the Fourth Proportional to 682.77, 942.36 and 421.02

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Solution

The fourth proportional to 682.77, 942.36 and 421.02 is: 581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.77 : 942.36 = 421.02 : x
  2. Step 2: Convert to fraction form
    682.77/942.36 = 421.02/x
  3. Step 3: Cross multiply
    682.77x = 942.36 × 421.02
  4. Step 4: Simplify right side
    682.77x = 396,752.41
  5. Step 5: Solve for x
    x = 396,752.41/682.77
  6. Step 6: Final answer
    x = 581.09

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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.