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Finding the Fourth Proportional to 455.25, 682.90 and 390.69

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Solution

The fourth proportional to 455.25, 682.90 and 390.69 is: 586.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.25 : 682.90 = 390.69 : x
  2. Step 2: Convert to fraction form
    455.25/682.90 = 390.69/x
  3. Step 3: Cross multiply
    455.25x = 682.90 × 390.69
  4. Step 4: Simplify right side
    455.25x = 266,801.22
  5. Step 5: Solve for x
    x = 266,801.22/455.25
  6. Step 6: Final answer
    x = 586.05

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