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Finding the Fourth Proportional to 1,191.16, 1,643.42 and 719.21

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Solution

The fourth proportional to 1,191.16, 1,643.42 and 719.21 is: 992.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.16 : 1,643.42 = 719.21 : x
  2. Step 2: Convert to fraction form
    1,191.16/1,643.42 = 719.21/x
  3. Step 3: Cross multiply
    1,191.16x = 1,643.42 × 719.21
  4. Step 4: Simplify right side
    1,191.16x = 1,181,970.00
  5. Step 5: Solve for x
    x = 1,181,970.00/1,191.16
  6. Step 6: Final answer
    x = 992.28

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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.