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Finding the Fourth Proportional to 991.60, 1,368.54 and 571.97

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Solution

The fourth proportional to 991.60, 1,368.54 and 571.97 is: 789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.60 : 1,368.54 = 571.97 : x
  2. Step 2: Convert to fraction form
    991.60/1,368.54 = 571.97/x
  3. Step 3: Cross multiply
    991.60x = 1,368.54 × 571.97
  4. Step 4: Simplify right side
    991.60x = 782,767.25
  5. Step 5: Solve for x
    x = 782,767.25/991.60
  6. Step 6: Final answer
    x = 789.40

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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.