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Finding the Fourth Proportional to 890.44, 1,335.97 and 646.54

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Solution

The fourth proportional to 890.44, 1,335.97 and 646.54 is: 970.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.44 : 1,335.97 = 646.54 : x
  2. Step 2: Convert to fraction form
    890.44/1,335.97 = 646.54/x
  3. Step 3: Cross multiply
    890.44x = 1,335.97 × 646.54
  4. Step 4: Simplify right side
    890.44x = 863,755.51
  5. Step 5: Solve for x
    x = 863,755.51/890.44
  6. Step 6: Final answer
    x = 970.03

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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.