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Finding the Fourth Proportional to 890.99, 1,230.03 and 596.75

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Solution

The fourth proportional to 890.99, 1,230.03 and 596.75 is: 823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.99 : 1,230.03 = 596.75 : x
  2. Step 2: Convert to fraction form
    890.99/1,230.03 = 596.75/x
  3. Step 3: Cross multiply
    890.99x = 1,230.03 × 596.75
  4. Step 4: Simplify right side
    890.99x = 734,014.25
  5. Step 5: Solve for x
    x = 734,014.25/890.99
  6. Step 6: Final answer
    x = 823.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.