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Finding the Fourth Proportional to 1,159.63, 1,738.73 and 491.74

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Solution

The fourth proportional to 1,159.63, 1,738.73 and 491.74 is: 737.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.63 : 1,738.73 = 491.74 : x
  2. Step 2: Convert to fraction form
    1,159.63/1,738.73 = 491.74/x
  3. Step 3: Cross multiply
    1,159.63x = 1,738.73 × 491.74
  4. Step 4: Simplify right side
    1,159.63x = 854,999.97
  5. Step 5: Solve for x
    x = 854,999.97/1,159.63
  6. Step 6: Final answer
    x = 737.31

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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.