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Finding the Fourth Proportional to 1,076.13, 1,611.72 and 554.49

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Solution

The fourth proportional to 1,076.13, 1,611.72 and 554.49 is: 830.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.13 : 1,611.72 = 554.49 : x
  2. Step 2: Convert to fraction form
    1,076.13/1,611.72 = 554.49/x
  3. Step 3: Cross multiply
    1,076.13x = 1,611.72 × 554.49
  4. Step 4: Simplify right side
    1,076.13x = 893,682.62
  5. Step 5: Solve for x
    x = 893,682.62/1,076.13
  6. Step 6: Final answer
    x = 830.46

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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.