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Finding the Fourth Proportional to 1,289.45, 1,780.11 and 841.52

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Solution

The fourth proportional to 1,289.45, 1,780.11 and 841.52 is: 1,161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.45 : 1,780.11 = 841.52 : x
  2. Step 2: Convert to fraction form
    1,289.45/1,780.11 = 841.52/x
  3. Step 3: Cross multiply
    1,289.45x = 1,780.11 × 841.52
  4. Step 4: Simplify right side
    1,289.45x = 1,498,002.62
  5. Step 5: Solve for x
    x = 1,498,002.62/1,289.45
  6. Step 6: Final answer
    x = 1,161.74

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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.