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Finding the Fourth Proportional to 759.92, 1,048.60 and 538.94

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Solution

The fourth proportional to 759.92, 1,048.60 and 538.94 is: 743.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.92 : 1,048.60 = 538.94 : x
  2. Step 2: Convert to fraction form
    759.92/1,048.60 = 538.94/x
  3. Step 3: Cross multiply
    759.92x = 1,048.60 × 538.94
  4. Step 4: Simplify right side
    759.92x = 565,132.48
  5. Step 5: Solve for x
    x = 565,132.48/759.92
  6. Step 6: Final answer
    x = 743.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.