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Finding the Fourth Proportional to 890.53, 1,333.74 and 642.16

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Solution

The fourth proportional to 890.53, 1,333.74 and 642.16 is: 961.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.53 : 1,333.74 = 642.16 : x
  2. Step 2: Convert to fraction form
    890.53/1,333.74 = 642.16/x
  3. Step 3: Cross multiply
    890.53x = 1,333.74 × 642.16
  4. Step 4: Simplify right side
    890.53x = 856,471.14
  5. Step 5: Solve for x
    x = 856,471.14/890.53
  6. Step 6: Final answer
    x = 961.76

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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.