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Finding the Fourth Proportional to 607.14, 911.09 and 278.03

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Solution

The fourth proportional to 607.14, 911.09 and 278.03 is: 417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.14 : 911.09 = 278.03 : x
  2. Step 2: Convert to fraction form
    607.14/911.09 = 278.03/x
  3. Step 3: Cross multiply
    607.14x = 911.09 × 278.03
  4. Step 4: Simplify right side
    607.14x = 253,305.80
  5. Step 5: Solve for x
    x = 253,305.80/607.14
  6. Step 6: Final answer
    x = 417.21

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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.