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Finding the Fourth Proportional to 1,317.71, 1,818.42 and 728.26

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Solution

The fourth proportional to 1,317.71, 1,818.42 and 728.26 is: 1,004.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.71 : 1,818.42 = 728.26 : x
  2. Step 2: Convert to fraction form
    1,317.71/1,818.42 = 728.26/x
  3. Step 3: Cross multiply
    1,317.71x = 1,818.42 × 728.26
  4. Step 4: Simplify right side
    1,317.71x = 1,324,279.82
  5. Step 5: Solve for x
    x = 1,324,279.82/1,317.71
  6. Step 6: Final answer
    x = 1,004.98

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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.