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Finding the Fourth Proportional to 1,339.49, 1,848.50 and 749.98

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Solution

The fourth proportional to 1,339.49, 1,848.50 and 749.98 is: 1,034.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.49 : 1,848.50 = 749.98 : x
  2. Step 2: Convert to fraction form
    1,339.49/1,848.50 = 749.98/x
  3. Step 3: Cross multiply
    1,339.49x = 1,848.50 × 749.98
  4. Step 4: Simplify right side
    1,339.49x = 1,386,338.03
  5. Step 5: Solve for x
    x = 1,386,338.03/1,339.49
  6. Step 6: Final answer
    x = 1,034.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.