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Finding the Fourth Proportional to 758.75, 1,138.48 and 393.34

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Solution

The fourth proportional to 758.75, 1,138.48 and 393.34 is: 590.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.75 : 1,138.48 = 393.34 : x
  2. Step 2: Convert to fraction form
    758.75/1,138.48 = 393.34/x
  3. Step 3: Cross multiply
    758.75x = 1,138.48 × 393.34
  4. Step 4: Simplify right side
    758.75x = 447,809.72
  5. Step 5: Solve for x
    x = 447,809.72/758.75
  6. Step 6: Final answer
    x = 590.19

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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.