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Finding the Fourth Proportional to 619.14, 855.60 and 514.11

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Solution

The fourth proportional to 619.14, 855.60 and 514.11 is: 710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.14 : 855.60 = 514.11 : x
  2. Step 2: Convert to fraction form
    619.14/855.60 = 514.11/x
  3. Step 3: Cross multiply
    619.14x = 855.60 × 514.11
  4. Step 4: Simplify right side
    619.14x = 439,872.52
  5. Step 5: Solve for x
    x = 439,872.52/619.14
  6. Step 6: Final answer
    x = 710.46

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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.