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Finding the Fourth Proportional to 748.74, 1,121.93 and 594.27

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Solution

The fourth proportional to 748.74, 1,121.93 and 594.27 is: 890.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.74 : 1,121.93 = 594.27 : x
  2. Step 2: Convert to fraction form
    748.74/1,121.93 = 594.27/x
  3. Step 3: Cross multiply
    748.74x = 1,121.93 × 594.27
  4. Step 4: Simplify right side
    748.74x = 666,731.94
  5. Step 5: Solve for x
    x = 666,731.94/748.74
  6. Step 6: Final answer
    x = 890.47

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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.