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Finding the Fourth Proportional to 1,108.85, 1,663.92 and 416.01

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Solution

The fourth proportional to 1,108.85, 1,663.92 and 416.01 is: 624.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.85 : 1,663.92 = 416.01 : x
  2. Step 2: Convert to fraction form
    1,108.85/1,663.92 = 416.01/x
  3. Step 3: Cross multiply
    1,108.85x = 1,663.92 × 416.01
  4. Step 4: Simplify right side
    1,108.85x = 692,207.36
  5. Step 5: Solve for x
    x = 692,207.36/1,108.85
  6. Step 6: Final answer
    x = 624.26

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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.