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Finding the Fourth Proportional to 456.00, 683.29 and 260.75

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Solution

The fourth proportional to 456.00, 683.29 and 260.75 is: 390.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.00 : 683.29 = 260.75 : x
  2. Step 2: Convert to fraction form
    456.00/683.29 = 260.75/x
  3. Step 3: Cross multiply
    456.00x = 683.29 × 260.75
  4. Step 4: Simplify right side
    456.00x = 178,168.43
  5. Step 5: Solve for x
    x = 178,168.43/456.00
  6. Step 6: Final answer
    x = 390.72

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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.