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Finding the Fourth Proportional to 991.57, 1,368.53 and 571.84

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Solution

The fourth proportional to 991.57, 1,368.53 and 571.84 is: 789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.57 : 1,368.53 = 571.84 : x
  2. Step 2: Convert to fraction form
    991.57/1,368.53 = 571.84/x
  3. Step 3: Cross multiply
    991.57x = 1,368.53 × 571.84
  4. Step 4: Simplify right side
    991.57x = 782,580.20
  5. Step 5: Solve for x
    x = 782,580.20/991.57
  6. Step 6: Final answer
    x = 789.23

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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.