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Finding the Fourth Proportional to 890.45, 1,335.47 and 273.81

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Solution

The fourth proportional to 890.45, 1,335.47 and 273.81 is: 410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.45 : 1,335.47 = 273.81 : x
  2. Step 2: Convert to fraction form
    890.45/1,335.47 = 273.81/x
  3. Step 3: Cross multiply
    890.45x = 1,335.47 × 273.81
  4. Step 4: Simplify right side
    890.45x = 365,663.67
  5. Step 5: Solve for x
    x = 365,663.67/890.45
  6. Step 6: Final answer
    x = 410.65

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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.