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Finding the Fourth Proportional to 991.75, 1,368.62 and 577.75

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Solution

The fourth proportional to 991.75, 1,368.62 and 577.75 is: 797.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.75 : 1,368.62 = 577.75 : x
  2. Step 2: Convert to fraction form
    991.75/1,368.62 = 577.75/x
  3. Step 3: Cross multiply
    991.75x = 1,368.62 × 577.75
  4. Step 4: Simplify right side
    991.75x = 790,720.21
  5. Step 5: Solve for x
    x = 790,720.21/991.75
  6. Step 6: Final answer
    x = 797.30

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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.