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Finding the Fourth Proportional to 991.52, 1,367.96 and 613.52

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Solution

The fourth proportional to 991.52, 1,367.96 and 613.52 is: 846.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.52 : 1,367.96 = 613.52 : x
  2. Step 2: Convert to fraction form
    991.52/1,367.96 = 613.52/x
  3. Step 3: Cross multiply
    991.52x = 1,367.96 × 613.52
  4. Step 4: Simplify right side
    991.52x = 839,270.82
  5. Step 5: Solve for x
    x = 839,270.82/991.52
  6. Step 6: Final answer
    x = 846.45

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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.