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Finding the Fourth Proportional to 1,664.49, 2,495.87 and 494.34

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Solution

The fourth proportional to 1,664.49, 2,495.87 and 494.34 is: 741.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.49 : 2,495.87 = 494.34 : x
  2. Step 2: Convert to fraction form
    1,664.49/2,495.87 = 494.34/x
  3. Step 3: Cross multiply
    1,664.49x = 2,495.87 × 494.34
  4. Step 4: Simplify right side
    1,664.49x = 1,233,798.40
  5. Step 5: Solve for x
    x = 1,233,798.40/1,664.49
  6. Step 6: Final answer
    x = 741.25

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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.