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Finding the Fourth Proportional to 454.84, 678.74 and 389.80

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Solution

The fourth proportional to 454.84, 678.74 and 389.80 is: 581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.84 : 678.74 = 389.80 : x
  2. Step 2: Convert to fraction form
    454.84/678.74 = 389.80/x
  3. Step 3: Cross multiply
    454.84x = 678.74 × 389.80
  4. Step 4: Simplify right side
    454.84x = 264,572.85
  5. Step 5: Solve for x
    x = 264,572.85/454.84
  6. Step 6: Final answer
    x = 581.68

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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.