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Finding the Fourth Proportional to 843.98, 1,165.47 and 757.58

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Solution

The fourth proportional to 843.98, 1,165.47 and 757.58 is: 1,046.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.98 : 1,165.47 = 757.58 : x
  2. Step 2: Convert to fraction form
    843.98/1,165.47 = 757.58/x
  3. Step 3: Cross multiply
    843.98x = 1,165.47 × 757.58
  4. Step 4: Simplify right side
    843.98x = 882,936.76
  5. Step 5: Solve for x
    x = 882,936.76/843.98
  6. Step 6: Final answer
    x = 1,046.16

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1.5x scale

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.