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Finding the Fourth Proportional to 1,693.90, 2,539.97 and 598.11

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Solution

The fourth proportional to 1,693.90, 2,539.97 and 598.11 is: 896.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.90 : 2,539.97 = 598.11 : x
  2. Step 2: Convert to fraction form
    1,693.90/2,539.97 = 598.11/x
  3. Step 3: Cross multiply
    1,693.90x = 2,539.97 × 598.11
  4. Step 4: Simplify right side
    1,693.90x = 1,519,181.46
  5. Step 5: Solve for x
    x = 1,519,181.46/1,693.90
  6. Step 6: Final answer
    x = 896.85

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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.