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Finding the Fourth Proportional to 615.11, 848.54 and 381.83

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Solution

The fourth proportional to 615.11, 848.54 and 381.83 is: 526.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.11 : 848.54 = 381.83 : x
  2. Step 2: Convert to fraction form
    615.11/848.54 = 381.83/x
  3. Step 3: Cross multiply
    615.11x = 848.54 × 381.83
  4. Step 4: Simplify right side
    615.11x = 323,996.12
  5. Step 5: Solve for x
    x = 323,996.12/615.11
  6. Step 6: Final answer
    x = 526.73

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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.