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Finding the Fourth Proportional to 1,108.55, 1,662.23 and 459.35

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Solution

The fourth proportional to 1,108.55, 1,662.23 and 459.35 is: 688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.55 : 1,662.23 = 459.35 : x
  2. Step 2: Convert to fraction form
    1,108.55/1,662.23 = 459.35/x
  3. Step 3: Cross multiply
    1,108.55x = 1,662.23 × 459.35
  4. Step 4: Simplify right side
    1,108.55x = 763,543.05
  5. Step 5: Solve for x
    x = 763,543.05/1,108.55
  6. Step 6: Final answer
    x = 688.78

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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.