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Finding the Fourth Proportional to 1,334.95, 1,998.53 and 890.71

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Solution

The fourth proportional to 1,334.95, 1,998.53 and 890.71 is: 1,333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.95 : 1,998.53 = 890.71 : x
  2. Step 2: Convert to fraction form
    1,334.95/1,998.53 = 890.71/x
  3. Step 3: Cross multiply
    1,334.95x = 1,998.53 × 890.71
  4. Step 4: Simplify right side
    1,334.95x = 1,780,101.21
  5. Step 5: Solve for x
    x = 1,780,101.21/1,334.95
  6. Step 6: Final answer
    x = 1,333.46

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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.