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Finding the Fourth Proportional to 389.40, 580.46 and 383.46

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Solution

The fourth proportional to 389.40, 580.46 and 383.46 is: 571.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.40 : 580.46 = 383.46 : x
  2. Step 2: Convert to fraction form
    389.40/580.46 = 383.46/x
  3. Step 3: Cross multiply
    389.40x = 580.46 × 383.46
  4. Step 4: Simplify right side
    389.40x = 222,583.19
  5. Step 5: Solve for x
    x = 222,583.19/389.40
  6. Step 6: Final answer
    x = 571.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.