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Finding the Fourth Proportional to 642.44, 886.44 and 380.51

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Solution

The fourth proportional to 642.44, 886.44 and 380.51 is: 525.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.44 : 886.44 = 380.51 : x
  2. Step 2: Convert to fraction form
    642.44/886.44 = 380.51/x
  3. Step 3: Cross multiply
    642.44x = 886.44 × 380.51
  4. Step 4: Simplify right side
    642.44x = 337,301.50
  5. Step 5: Solve for x
    x = 337,301.50/642.44
  6. Step 6: Final answer
    x = 525.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.