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Finding the Fourth Proportional to 768.14, 1,059.44 and 519.07

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Solution

The fourth proportional to 768.14, 1,059.44 and 519.07 is: 715.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.14 : 1,059.44 = 519.07 : x
  2. Step 2: Convert to fraction form
    768.14/1,059.44 = 519.07/x
  3. Step 3: Cross multiply
    768.14x = 1,059.44 × 519.07
  4. Step 4: Simplify right side
    768.14x = 549,918.22
  5. Step 5: Solve for x
    x = 549,918.22/768.14
  6. Step 6: Final answer
    x = 715.91

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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.