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Finding the Fourth Proportional to 1,290.72, 1,933.49 and 596.45

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Solution

The fourth proportional to 1,290.72, 1,933.49 and 596.45 is: 893.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.72 : 1,933.49 = 596.45 : x
  2. Step 2: Convert to fraction form
    1,290.72/1,933.49 = 596.45/x
  3. Step 3: Cross multiply
    1,290.72x = 1,933.49 × 596.45
  4. Step 4: Simplify right side
    1,290.72x = 1,153,230.11
  5. Step 5: Solve for x
    x = 1,153,230.11/1,290.72
  6. Step 6: Final answer
    x = 893.48

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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.