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Finding the Fourth Proportional to 1,640.74, 2,458.68 and 817.89

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Solution

The fourth proportional to 1,640.74, 2,458.68 and 817.89 is: 1,225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.74 : 2,458.68 = 817.89 : x
  2. Step 2: Convert to fraction form
    1,640.74/2,458.68 = 817.89/x
  3. Step 3: Cross multiply
    1,640.74x = 2,458.68 × 817.89
  4. Step 4: Simplify right side
    1,640.74x = 2,010,929.79
  5. Step 5: Solve for x
    x = 2,010,929.79/1,640.74
  6. Step 6: Final answer
    x = 1,225.62

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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.