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Finding the Fourth Proportional to 790.55, 1,186.28 and 328.25

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Solution

The fourth proportional to 790.55, 1,186.28 and 328.25 is: 492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.55 : 1,186.28 = 328.25 : x
  2. Step 2: Convert to fraction form
    790.55/1,186.28 = 328.25/x
  3. Step 3: Cross multiply
    790.55x = 1,186.28 × 328.25
  4. Step 4: Simplify right side
    790.55x = 389,396.41
  5. Step 5: Solve for x
    x = 389,396.41/790.55
  6. Step 6: Final answer
    x = 492.56

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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.