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Finding the Fourth Proportional to 1,327.59, 1,990.10 and 596.77

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Solution

The fourth proportional to 1,327.59, 1,990.10 and 596.77 is: 894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.59 : 1,990.10 = 596.77 : x
  2. Step 2: Convert to fraction form
    1,327.59/1,990.10 = 596.77/x
  3. Step 3: Cross multiply
    1,327.59x = 1,990.10 × 596.77
  4. Step 4: Simplify right side
    1,327.59x = 1,187,628.49
  5. Step 5: Solve for x
    x = 1,187,628.49/1,327.59
  6. Step 6: Final answer
    x = 894.57

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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.