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Finding the Fourth Proportional to 860.90, 1,184.96 and 719.42

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Solution

The fourth proportional to 860.90, 1,184.96 and 719.42 is: 990.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.90 : 1,184.96 = 719.42 : x
  2. Step 2: Convert to fraction form
    860.90/1,184.96 = 719.42/x
  3. Step 3: Cross multiply
    860.90x = 1,184.96 × 719.42
  4. Step 4: Simplify right side
    860.90x = 852,488.68
  5. Step 5: Solve for x
    x = 852,488.68/860.90
  6. Step 6: Final answer
    x = 990.23

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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.