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Finding the Fourth Proportional to 991.32, 1,367.43 and 618.01

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Solution

The fourth proportional to 991.32, 1,367.43 and 618.01 is: 852.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.32 : 1,367.43 = 618.01 : x
  2. Step 2: Convert to fraction form
    991.32/1,367.43 = 618.01/x
  3. Step 3: Cross multiply
    991.32x = 1,367.43 × 618.01
  4. Step 4: Simplify right side
    991.32x = 845,090.85
  5. Step 5: Solve for x
    x = 845,090.85/991.32
  6. Step 6: Final answer
    x = 852.49

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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.