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Finding the Fourth Proportional to 1,109.19, 1,663.99 and 459.98

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Solution

The fourth proportional to 1,109.19, 1,663.99 and 459.98 is: 690.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.19 : 1,663.99 = 459.98 : x
  2. Step 2: Convert to fraction form
    1,109.19/1,663.99 = 459.98/x
  3. Step 3: Cross multiply
    1,109.19x = 1,663.99 × 459.98
  4. Step 4: Simplify right side
    1,109.19x = 765,402.12
  5. Step 5: Solve for x
    x = 765,402.12/1,109.19
  6. Step 6: Final answer
    x = 690.06

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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.