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Finding the Fourth Proportional to 991.71, 1,486.10 and 679.05

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Solution

The fourth proportional to 991.71, 1,486.10 and 679.05 is: 1,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.71 : 1,486.10 = 679.05 : x
  2. Step 2: Convert to fraction form
    991.71/1,486.10 = 679.05/x
  3. Step 3: Cross multiply
    991.71x = 1,486.10 × 679.05
  4. Step 4: Simplify right side
    991.71x = 1,009,137.90
  5. Step 5: Solve for x
    x = 1,009,137.90/991.71
  6. Step 6: Final answer
    x = 1,017.57

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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.