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Finding the Fourth Proportional to 1,133.21, 1,698.89 and 439.52

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Solution

The fourth proportional to 1,133.21, 1,698.89 and 439.52 is: 658.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.21 : 1,698.89 = 439.52 : x
  2. Step 2: Convert to fraction form
    1,133.21/1,698.89 = 439.52/x
  3. Step 3: Cross multiply
    1,133.21x = 1,698.89 × 439.52
  4. Step 4: Simplify right side
    1,133.21x = 746,688.74
  5. Step 5: Solve for x
    x = 746,688.74/1,133.21
  6. Step 6: Final answer
    x = 658.92

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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.