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Finding the Fourth Proportional to 589.98, 812.38 and 423.88

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Solution

The fourth proportional to 589.98, 812.38 and 423.88 is: 583.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.98 : 812.38 = 423.88 : x
  2. Step 2: Convert to fraction form
    589.98/812.38 = 423.88/x
  3. Step 3: Cross multiply
    589.98x = 812.38 × 423.88
  4. Step 4: Simplify right side
    589.98x = 344,353.91
  5. Step 5: Solve for x
    x = 344,353.91/589.98
  6. Step 6: Final answer
    x = 583.67

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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.