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Finding the Fourth Proportional to 589.38, 812.22 and 423.30

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Solution

The fourth proportional to 589.38, 812.22 and 423.30 is: 583.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.38 : 812.22 = 423.30 : x
  2. Step 2: Convert to fraction form
    589.38/812.22 = 423.30/x
  3. Step 3: Cross multiply
    589.38x = 812.22 × 423.30
  4. Step 4: Simplify right side
    589.38x = 343,812.73
  5. Step 5: Solve for x
    x = 343,812.73/589.38
  6. Step 6: Final answer
    x = 583.35

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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.