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Finding the Fourth Proportional to 751.43, 1,126.17 and 519.95

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Solution

The fourth proportional to 751.43, 1,126.17 and 519.95 is: 779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.43 : 1,126.17 = 519.95 : x
  2. Step 2: Convert to fraction form
    751.43/1,126.17 = 519.95/x
  3. Step 3: Cross multiply
    751.43x = 1,126.17 × 519.95
  4. Step 4: Simplify right side
    751.43x = 585,554.91
  5. Step 5: Solve for x
    x = 585,554.91/751.43
  6. Step 6: Final answer
    x = 779.25

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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.