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Finding the Fourth Proportional to 764.87, 1,055.67 and 499.64

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Solution

The fourth proportional to 764.87, 1,055.67 and 499.64 is: 689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.87 : 1,055.67 = 499.64 : x
  2. Step 2: Convert to fraction form
    764.87/1,055.67 = 499.64/x
  3. Step 3: Cross multiply
    764.87x = 1,055.67 × 499.64
  4. Step 4: Simplify right side
    764.87x = 527,454.96
  5. Step 5: Solve for x
    x = 527,454.96/764.87
  6. Step 6: Final answer
    x = 689.60

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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.