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Finding the Fourth Proportional to 1,200.46, 1,800.42 and 783.86

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Solution

The fourth proportional to 1,200.46, 1,800.42 and 783.86 is: 1,175.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.46 : 1,800.42 = 783.86 : x
  2. Step 2: Convert to fraction form
    1,200.46/1,800.42 = 783.86/x
  3. Step 3: Cross multiply
    1,200.46x = 1,800.42 × 783.86
  4. Step 4: Simplify right side
    1,200.46x = 1,411,277.22
  5. Step 5: Solve for x
    x = 1,411,277.22/1,200.46
  6. Step 6: Final answer
    x = 1,175.61

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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.