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Finding the Fourth Proportional to 454.74, 683.01 and 389.72

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Solution

The fourth proportional to 454.74, 683.01 and 389.72 is: 585.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.74 : 683.01 = 389.72 : x
  2. Step 2: Convert to fraction form
    454.74/683.01 = 389.72/x
  3. Step 3: Cross multiply
    454.74x = 683.01 × 389.72
  4. Step 4: Simplify right side
    454.74x = 266,179.24
  5. Step 5: Solve for x
    x = 266,179.24/454.74
  6. Step 6: Final answer
    x = 585.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.