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Finding the Fourth Proportional to 1,151.51, 1,726.34 and 663.98

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Solution

The fourth proportional to 1,151.51, 1,726.34 and 663.98 is: 995.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.51 : 1,726.34 = 663.98 : x
  2. Step 2: Convert to fraction form
    1,151.51/1,726.34 = 663.98/x
  3. Step 3: Cross multiply
    1,151.51x = 1,726.34 × 663.98
  4. Step 4: Simplify right side
    1,151.51x = 1,146,243.28
  5. Step 5: Solve for x
    x = 1,146,243.28/1,151.51
  6. Step 6: Final answer
    x = 995.43

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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.