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Finding the Fourth Proportional to 1,190.73, 1,643.23 and 693.41

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Solution

The fourth proportional to 1,190.73, 1,643.23 and 693.41 is: 956.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.73 : 1,643.23 = 693.41 : x
  2. Step 2: Convert to fraction form
    1,190.73/1,643.23 = 693.41/x
  3. Step 3: Cross multiply
    1,190.73x = 1,643.23 × 693.41
  4. Step 4: Simplify right side
    1,190.73x = 1,139,432.11
  5. Step 5: Solve for x
    x = 1,139,432.11/1,190.73
  6. Step 6: Final answer
    x = 956.92

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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.