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Finding the Fourth Proportional to 1,051.35, 1,449.90 and 841.54

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Solution

The fourth proportional to 1,051.35, 1,449.90 and 841.54 is: 1,160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.35 : 1,449.90 = 841.54 : x
  2. Step 2: Convert to fraction form
    1,051.35/1,449.90 = 841.54/x
  3. Step 3: Cross multiply
    1,051.35x = 1,449.90 × 841.54
  4. Step 4: Simplify right side
    1,051.35x = 1,220,147.94
  5. Step 5: Solve for x
    x = 1,220,147.94/1,051.35
  6. Step 6: Final answer
    x = 1,160.55

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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.