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Finding the Fourth Proportional to 749.83, 1,123.43 and 489.41

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Solution

The fourth proportional to 749.83, 1,123.43 and 489.41 is: 733.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.83 : 1,123.43 = 489.41 : x
  2. Step 2: Convert to fraction form
    749.83/1,123.43 = 489.41/x
  3. Step 3: Cross multiply
    749.83x = 1,123.43 × 489.41
  4. Step 4: Simplify right side
    749.83x = 549,817.88
  5. Step 5: Solve for x
    x = 549,817.88/749.83
  6. Step 6: Final answer
    x = 733.26

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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.