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Finding the Fourth Proportional to 748.98, 1,123.47 and 383.94

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Solution

The fourth proportional to 748.98, 1,123.47 and 383.94 is: 575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.98 : 1,123.47 = 383.94 : x
  2. Step 2: Convert to fraction form
    748.98/1,123.47 = 383.94/x
  3. Step 3: Cross multiply
    748.98x = 1,123.47 × 383.94
  4. Step 4: Simplify right side
    748.98x = 431,345.07
  5. Step 5: Solve for x
    x = 431,345.07/748.98
  6. Step 6: Final answer
    x = 575.91

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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.