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Finding the Fourth Proportional to 840.71, 1,258.36 and 449.73

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Solution

The fourth proportional to 840.71, 1,258.36 and 449.73 is: 673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.71 : 1,258.36 = 449.73 : x
  2. Step 2: Convert to fraction form
    840.71/1,258.36 = 449.73/x
  3. Step 3: Cross multiply
    840.71x = 1,258.36 × 449.73
  4. Step 4: Simplify right side
    840.71x = 565,922.24
  5. Step 5: Solve for x
    x = 565,922.24/840.71
  6. Step 6: Final answer
    x = 673.15

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1.5x scale

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.