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Finding the Fourth Proportional to 615.78, 846.29 and 554.28

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Solution

The fourth proportional to 615.78, 846.29 and 554.28 is: 761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.78 : 846.29 = 554.28 : x
  2. Step 2: Convert to fraction form
    615.78/846.29 = 554.28/x
  3. Step 3: Cross multiply
    615.78x = 846.29 × 554.28
  4. Step 4: Simplify right side
    615.78x = 469,078.85
  5. Step 5: Solve for x
    x = 469,078.85/615.78
  6. Step 6: Final answer
    x = 761.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.