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Finding the Fourth Proportional to 1,491.62, 2,232.77 and 942.98

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Solution

The fourth proportional to 1,491.62, 2,232.77 and 942.98 is: 1,411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.62 : 2,232.77 = 942.98 : x
  2. Step 2: Convert to fraction form
    1,491.62/2,232.77 = 942.98/x
  3. Step 3: Cross multiply
    1,491.62x = 2,232.77 × 942.98
  4. Step 4: Simplify right side
    1,491.62x = 2,105,441.58
  5. Step 5: Solve for x
    x = 2,105,441.58/1,491.62
  6. Step 6: Final answer
    x = 1,411.52

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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.