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Finding the Fourth Proportional to 764.94, 1,150.55 and 698.52

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Solution

The fourth proportional to 764.94, 1,150.55 and 698.52 is: 1,050.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.94 : 1,150.55 = 698.52 : x
  2. Step 2: Convert to fraction form
    764.94/1,150.55 = 698.52/x
  3. Step 3: Cross multiply
    764.94x = 1,150.55 × 698.52
  4. Step 4: Simplify right side
    764.94x = 803,678.69
  5. Step 5: Solve for x
    x = 803,678.69/764.94
  6. Step 6: Final answer
    x = 1,050.64

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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.