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Finding the Fourth Proportional to 1,613.03, 2,419.36 and 442.98

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Solution

The fourth proportional to 1,613.03, 2,419.36 and 442.98 is: 664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.03 : 2,419.36 = 442.98 : x
  2. Step 2: Convert to fraction form
    1,613.03/2,419.36 = 442.98/x
  3. Step 3: Cross multiply
    1,613.03x = 2,419.36 × 442.98
  4. Step 4: Simplify right side
    1,613.03x = 1,071,726.99
  5. Step 5: Solve for x
    x = 1,071,726.99/1,613.03
  6. Step 6: Final answer
    x = 664.42

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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.