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Finding the Fourth Proportional to 598.39, 823.64 and 423.43

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Solution

The fourth proportional to 598.39, 823.64 and 423.43 is: 582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.39 : 823.64 = 423.43 : x
  2. Step 2: Convert to fraction form
    598.39/823.64 = 423.43/x
  3. Step 3: Cross multiply
    598.39x = 823.64 × 423.43
  4. Step 4: Simplify right side
    598.39x = 348,749.71
  5. Step 5: Solve for x
    x = 348,749.71/598.39
  6. Step 6: Final answer
    x = 582.82

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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.