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Finding the Fourth Proportional to 619.73, 854.50 and 514.94

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Solution

The fourth proportional to 619.73, 854.50 and 514.94 is: 710.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.73 : 854.50 = 514.94 : x
  2. Step 2: Convert to fraction form
    619.73/854.50 = 514.94/x
  3. Step 3: Cross multiply
    619.73x = 854.50 × 514.94
  4. Step 4: Simplify right side
    619.73x = 440,016.23
  5. Step 5: Solve for x
    x = 440,016.23/619.73
  6. Step 6: Final answer
    x = 710.01

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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.