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Finding the Fourth Proportional to 589.69, 812.47 and 439.67

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Solution

The fourth proportional to 589.69, 812.47 and 439.67 is: 605.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.69 : 812.47 = 439.67 : x
  2. Step 2: Convert to fraction form
    589.69/812.47 = 439.67/x
  3. Step 3: Cross multiply
    589.69x = 812.47 × 439.67
  4. Step 4: Simplify right side
    589.69x = 357,219.74
  5. Step 5: Solve for x
    x = 357,219.74/589.69
  6. Step 6: Final answer
    x = 605.78

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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.