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Finding the Fourth Proportional to 589.40, 812.70 and 423.08

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Solution

The fourth proportional to 589.40, 812.70 and 423.08 is: 583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.40 : 812.70 = 423.08 : x
  2. Step 2: Convert to fraction form
    589.40/812.70 = 423.08/x
  3. Step 3: Cross multiply
    589.40x = 812.70 × 423.08
  4. Step 4: Simplify right side
    589.40x = 343,837.12
  5. Step 5: Solve for x
    x = 343,837.12/589.40
  6. Step 6: Final answer
    x = 583.37

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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.