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Finding the Fourth Proportional to 1,648.92, 2,473.40 and 494.60

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Solution

The fourth proportional to 1,648.92, 2,473.40 and 494.60 is: 741.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.92 : 2,473.40 = 494.60 : x
  2. Step 2: Convert to fraction form
    1,648.92/2,473.40 = 494.60/x
  3. Step 3: Cross multiply
    1,648.92x = 2,473.40 × 494.60
  4. Step 4: Simplify right side
    1,648.92x = 1,223,343.64
  5. Step 5: Solve for x
    x = 1,223,343.64/1,648.92
  6. Step 6: Final answer
    x = 741.91

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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.