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Finding the Fourth Proportional to 426.45, 589.26 and 389.10

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Solution

The fourth proportional to 426.45, 589.26 and 389.10 is: 537.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.45 : 589.26 = 389.10 : x
  2. Step 2: Convert to fraction form
    426.45/589.26 = 389.10/x
  3. Step 3: Cross multiply
    426.45x = 589.26 × 389.10
  4. Step 4: Simplify right side
    426.45x = 229,281.07
  5. Step 5: Solve for x
    x = 229,281.07/426.45
  6. Step 6: Final answer
    x = 537.65

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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.