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Finding the Fourth Proportional to 454.37, 678.33 and 389.39

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Solution

The fourth proportional to 454.37, 678.33 and 389.39 is: 581.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.37 : 678.33 = 389.39 : x
  2. Step 2: Convert to fraction form
    454.37/678.33 = 389.39/x
  3. Step 3: Cross multiply
    454.37x = 678.33 × 389.39
  4. Step 4: Simplify right side
    454.37x = 264,131.53
  5. Step 5: Solve for x
    x = 264,131.53/454.37
  6. Step 6: Final answer
    x = 581.32

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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.