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Finding the Fourth Proportional to 1,190.19, 1,783.71 and 862.23

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Solution

The fourth proportional to 1,190.19, 1,783.71 and 862.23 is: 1,292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.19 : 1,783.71 = 862.23 : x
  2. Step 2: Convert to fraction form
    1,190.19/1,783.71 = 862.23/x
  3. Step 3: Cross multiply
    1,190.19x = 1,783.71 × 862.23
  4. Step 4: Simplify right side
    1,190.19x = 1,537,968.27
  5. Step 5: Solve for x
    x = 1,537,968.27/1,190.19
  6. Step 6: Final answer
    x = 1,292.20

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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.