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Finding the Fourth Proportional to 1,134.28, 1,698.67 and 645.85

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Solution

The fourth proportional to 1,134.28, 1,698.67 and 645.85 is: 967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.28 : 1,698.67 = 645.85 : x
  2. Step 2: Convert to fraction form
    1,134.28/1,698.67 = 645.85/x
  3. Step 3: Cross multiply
    1,134.28x = 1,698.67 × 645.85
  4. Step 4: Simplify right side
    1,134.28x = 1,097,086.02
  5. Step 5: Solve for x
    x = 1,097,086.02/1,134.28
  6. Step 6: Final answer
    x = 967.21

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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.