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Finding the Fourth Proportional to 991.01, 1,486.65 and 413.75

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Solution

The fourth proportional to 991.01, 1,486.65 and 413.75 is: 620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.01 : 1,486.65 = 413.75 : x
  2. Step 2: Convert to fraction form
    991.01/1,486.65 = 413.75/x
  3. Step 3: Cross multiply
    991.01x = 1,486.65 × 413.75
  4. Step 4: Simplify right side
    991.01x = 615,101.44
  5. Step 5: Solve for x
    x = 615,101.44/991.01
  6. Step 6: Final answer
    x = 620.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.