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Finding the Fourth Proportional to 764.87, 1,055.91 and 517.49

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Solution

The fourth proportional to 764.87, 1,055.91 and 517.49 is: 714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.87 : 1,055.91 = 517.49 : x
  2. Step 2: Convert to fraction form
    764.87/1,055.91 = 517.49/x
  3. Step 3: Cross multiply
    764.87x = 1,055.91 × 517.49
  4. Step 4: Simplify right side
    764.87x = 546,422.87
  5. Step 5: Solve for x
    x = 546,422.87/764.87
  6. Step 6: Final answer
    x = 714.40

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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.