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Finding the Fourth Proportional to 890.51, 1,334.15 and 871.07

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Solution

The fourth proportional to 890.51, 1,334.15 and 871.07 is: 1,305.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.51 : 1,334.15 = 871.07 : x
  2. Step 2: Convert to fraction form
    890.51/1,334.15 = 871.07/x
  3. Step 3: Cross multiply
    890.51x = 1,334.15 × 871.07
  4. Step 4: Simplify right side
    890.51x = 1,162,133.69
  5. Step 5: Solve for x
    x = 1,162,133.69/890.51
  6. Step 6: Final answer
    x = 1,305.02

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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.