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Finding the Fourth Proportional to 1,003.98, 1,497.44 and 889.76

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Solution

The fourth proportional to 1,003.98, 1,497.44 and 889.76 is: 1,327.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.98 : 1,497.44 = 889.76 : x
  2. Step 2: Convert to fraction form
    1,003.98/1,497.44 = 889.76/x
  3. Step 3: Cross multiply
    1,003.98x = 1,497.44 × 889.76
  4. Step 4: Simplify right side
    1,003.98x = 1,332,362.21
  5. Step 5: Solve for x
    x = 1,332,362.21/1,003.98
  6. Step 6: Final answer
    x = 1,327.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.