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Finding the Fourth Proportional to 1,018.03, 1,403.44 and 723.19

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Solution

The fourth proportional to 1,018.03, 1,403.44 and 723.19 is: 996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.03 : 1,403.44 = 723.19 : x
  2. Step 2: Convert to fraction form
    1,018.03/1,403.44 = 723.19/x
  3. Step 3: Cross multiply
    1,018.03x = 1,403.44 × 723.19
  4. Step 4: Simplify right side
    1,018.03x = 1,014,953.77
  5. Step 5: Solve for x
    x = 1,014,953.77/1,018.03
  6. Step 6: Final answer
    x = 996.98

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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.