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Finding the Fourth Proportional to 746.18, 1,120.08 and 593.09

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Solution

The fourth proportional to 746.18, 1,120.08 and 593.09 is: 890.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.18 : 1,120.08 = 593.09 : x
  2. Step 2: Convert to fraction form
    746.18/1,120.08 = 593.09/x
  3. Step 3: Cross multiply
    746.18x = 1,120.08 × 593.09
  4. Step 4: Simplify right side
    746.18x = 664,302.65
  5. Step 5: Solve for x
    x = 664,302.65/746.18
  6. Step 6: Final answer
    x = 890.28

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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.