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Finding the Fourth Proportional to 1,184.80, 1,778.64 and 801.76

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Solution

The fourth proportional to 1,184.80, 1,778.64 and 801.76 is: 1,203.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.80 : 1,778.64 = 801.76 : x
  2. Step 2: Convert to fraction form
    1,184.80/1,778.64 = 801.76/x
  3. Step 3: Cross multiply
    1,184.80x = 1,778.64 × 801.76
  4. Step 4: Simplify right side
    1,184.80x = 1,426,042.41
  5. Step 5: Solve for x
    x = 1,426,042.41/1,184.80
  6. Step 6: Final answer
    x = 1,203.61

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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.