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Finding the Fourth Proportional to 797.57, 1,100.74 and 448.25

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Solution

The fourth proportional to 797.57, 1,100.74 and 448.25 is: 618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.57 : 1,100.74 = 448.25 : x
  2. Step 2: Convert to fraction form
    797.57/1,100.74 = 448.25/x
  3. Step 3: Cross multiply
    797.57x = 1,100.74 × 448.25
  4. Step 4: Simplify right side
    797.57x = 493,406.71
  5. Step 5: Solve for x
    x = 493,406.71/797.57
  6. Step 6: Final answer
    x = 618.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.