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Finding the Fourth Proportional to 619.27, 854.91 and 421.15

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Solution

The fourth proportional to 619.27, 854.91 and 421.15 is: 581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.27 : 854.91 = 421.15 : x
  2. Step 2: Convert to fraction form
    619.27/854.91 = 421.15/x
  3. Step 3: Cross multiply
    619.27x = 854.91 × 421.15
  4. Step 4: Simplify right side
    619.27x = 360,045.35
  5. Step 5: Solve for x
    x = 360,045.35/619.27
  6. Step 6: Final answer
    x = 581.40

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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.