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Finding the Fourth Proportional to 840.07, 1,258.81 and 450.12

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Solution

The fourth proportional to 840.07, 1,258.81 and 450.12 is: 674.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.07 : 1,258.81 = 450.12 : x
  2. Step 2: Convert to fraction form
    840.07/1,258.81 = 450.12/x
  3. Step 3: Cross multiply
    840.07x = 1,258.81 × 450.12
  4. Step 4: Simplify right side
    840.07x = 566,615.56
  5. Step 5: Solve for x
    x = 566,615.56/840.07
  6. Step 6: Final answer
    x = 674.49

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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.