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Finding the Fourth Proportional to 619.63, 854.35 and 398.59

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Solution

The fourth proportional to 619.63, 854.35 and 398.59 is: 549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.63 : 854.35 = 398.59 : x
  2. Step 2: Convert to fraction form
    619.63/854.35 = 398.59/x
  3. Step 3: Cross multiply
    619.63x = 854.35 × 398.59
  4. Step 4: Simplify right side
    619.63x = 340,535.37
  5. Step 5: Solve for x
    x = 340,535.37/619.63
  6. Step 6: Final answer
    x = 549.58

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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.