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Finding the Fourth Proportional to 2,329.30, 3,493.85 and 790.30

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Solution

The fourth proportional to 2,329.30, 3,493.85 and 790.30 is: 1,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.30 : 3,493.85 = 790.30 : x
  2. Step 2: Convert to fraction form
    2,329.30/3,493.85 = 790.30/x
  3. Step 3: Cross multiply
    2,329.30x = 3,493.85 × 790.30
  4. Step 4: Simplify right side
    2,329.30x = 2,761,172.19
  5. Step 5: Solve for x
    x = 2,761,172.19/2,329.30
  6. Step 6: Final answer
    x = 1,185.41

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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.