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Finding the Fourth Proportional to 1,182.86, 1,632.49 and 678.90

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Solution

The fourth proportional to 1,182.86, 1,632.49 and 678.90 is: 936.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.86 : 1,632.49 = 678.90 : x
  2. Step 2: Convert to fraction form
    1,182.86/1,632.49 = 678.90/x
  3. Step 3: Cross multiply
    1,182.86x = 1,632.49 × 678.90
  4. Step 4: Simplify right side
    1,182.86x = 1,108,289.30
  5. Step 5: Solve for x
    x = 1,108,289.30/1,182.86
  6. Step 6: Final answer
    x = 936.96

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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.