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Finding the Fourth Proportional to 1,205, 1,663.71 and 740.06

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Solution

The fourth proportional to 1,205, 1,663.71 and 740.06 is: 1,021.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205 : 1,663.71 = 740.06 : x
  2. Step 2: Convert to fraction form
    1,205/1,663.71 = 740.06/x
  3. Step 3: Cross multiply
    1,205x = 1,663.71 × 740.06
  4. Step 4: Simplify right side
    1,205x = 1,231,245.22
  5. Step 5: Solve for x
    x = 1,231,245.22/1,205
  6. Step 6: Final answer
    x = 1,021.78

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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.