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Finding the Fourth Proportional to 3,098.84, 4,648.25 and 790.34

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Solution

The fourth proportional to 3,098.84, 4,648.25 and 790.34 is: 1,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.84 : 4,648.25 = 790.34 : x
  2. Step 2: Convert to fraction form
    3,098.84/4,648.25 = 790.34/x
  3. Step 3: Cross multiply
    3,098.84x = 4,648.25 × 790.34
  4. Step 4: Simplify right side
    3,098.84x = 3,673,676.64
  5. Step 5: Solve for x
    x = 3,673,676.64/3,098.84
  6. Step 6: Final answer
    x = 1,185.50

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1.5x scale

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.