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Finding the Fourth Proportional to 1,098.81, 1,647.90 and 405.45

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Solution

The fourth proportional to 1,098.81, 1,647.90 and 405.45 is: 608.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.81 : 1,647.90 = 405.45 : x
  2. Step 2: Convert to fraction form
    1,098.81/1,647.90 = 405.45/x
  3. Step 3: Cross multiply
    1,098.81x = 1,647.90 × 405.45
  4. Step 4: Simplify right side
    1,098.81x = 668,141.06
  5. Step 5: Solve for x
    x = 668,141.06/1,098.81
  6. Step 6: Final answer
    x = 608.06

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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.