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Finding the Fourth Proportional to 1,495.86, 2,243.88 and 455.90

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Solution

The fourth proportional to 1,495.86, 2,243.88 and 455.90 is: 683.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.86 : 2,243.88 = 455.90 : x
  2. Step 2: Convert to fraction form
    1,495.86/2,243.88 = 455.90/x
  3. Step 3: Cross multiply
    1,495.86x = 2,243.88 × 455.90
  4. Step 4: Simplify right side
    1,495.86x = 1,022,984.89
  5. Step 5: Solve for x
    x = 1,022,984.89/1,495.86
  6. Step 6: Final answer
    x = 683.88

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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.