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Finding the Fourth Proportional to 682.76, 942.77 and 434.50

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Solution

The fourth proportional to 682.76, 942.77 and 434.50 is: 599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.76 : 942.77 = 434.50 : x
  2. Step 2: Convert to fraction form
    682.76/942.77 = 434.50/x
  3. Step 3: Cross multiply
    682.76x = 942.77 × 434.50
  4. Step 4: Simplify right side
    682.76x = 409,632.29
  5. Step 5: Solve for x
    x = 409,632.29/682.76
  6. Step 6: Final answer
    x = 599.96

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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.