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Finding the Fourth Proportional to 833.90, 1,251.21 and 448.70

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Solution

The fourth proportional to 833.90, 1,251.21 and 448.70 is: 673.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.90 : 1,251.21 = 448.70 : x
  2. Step 2: Convert to fraction form
    833.90/1,251.21 = 448.70/x
  3. Step 3: Cross multiply
    833.90x = 1,251.21 × 448.70
  4. Step 4: Simplify right side
    833.90x = 561,411.67
  5. Step 5: Solve for x
    x = 561,411.67/833.90
  6. Step 6: Final answer
    x = 673.24

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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.