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Finding the Fourth Proportional to 797.37, 1,100.38 and 466.03

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Solution

The fourth proportional to 797.37, 1,100.38 and 466.03 is: 643.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.37 : 1,100.38 = 466.03 : x
  2. Step 2: Convert to fraction form
    797.37/1,100.38 = 466.03/x
  3. Step 3: Cross multiply
    797.37x = 1,100.38 × 466.03
  4. Step 4: Simplify right side
    797.37x = 512,810.09
  5. Step 5: Solve for x
    x = 512,810.09/797.37
  6. Step 6: Final answer
    x = 643.13

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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.