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Finding the Fourth Proportional to 1,640.50, 2,458.60 and 666.07

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Solution

The fourth proportional to 1,640.50, 2,458.60 and 666.07 is: 998.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.50 : 2,458.60 = 666.07 : x
  2. Step 2: Convert to fraction form
    1,640.50/2,458.60 = 666.07/x
  3. Step 3: Cross multiply
    1,640.50x = 2,458.60 × 666.07
  4. Step 4: Simplify right side
    1,640.50x = 1,637,599.70
  5. Step 5: Solve for x
    x = 1,637,599.70/1,640.50
  6. Step 6: Final answer
    x = 998.23

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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.