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Finding the Fourth Proportional to 767.44, 1,148.82 and 506.44

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Solution

The fourth proportional to 767.44, 1,148.82 and 506.44 is: 758.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.44 : 1,148.82 = 506.44 : x
  2. Step 2: Convert to fraction form
    767.44/1,148.82 = 506.44/x
  3. Step 3: Cross multiply
    767.44x = 1,148.82 × 506.44
  4. Step 4: Simplify right side
    767.44x = 581,808.40
  5. Step 5: Solve for x
    x = 581,808.40/767.44
  6. Step 6: Final answer
    x = 758.12

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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.