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Finding the Fourth Proportional to 1,189.92, 1,782.84 and 929.82

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Solution

The fourth proportional to 1,189.92, 1,782.84 and 929.82 is: 1,393.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.92 : 1,782.84 = 929.82 : x
  2. Step 2: Convert to fraction form
    1,189.92/1,782.84 = 929.82/x
  3. Step 3: Cross multiply
    1,189.92x = 1,782.84 × 929.82
  4. Step 4: Simplify right side
    1,189.92x = 1,657,720.29
  5. Step 5: Solve for x
    x = 1,657,720.29/1,189.92
  6. Step 6: Final answer
    x = 1,393.14

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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.