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Finding the Fourth Proportional to 1,109.62, 1,663.62 and 460

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Solution

The fourth proportional to 1,109.62, 1,663.62 and 460 is: 689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.62 : 1,663.62 = 460 : x
  2. Step 2: Convert to fraction form
    1,109.62/1,663.62 = 460/x
  3. Step 3: Cross multiply
    1,109.62x = 1,663.62 × 460
  4. Step 4: Simplify right side
    1,109.62x = 765,265.20
  5. Step 5: Solve for x
    x = 765,265.20/1,109.62
  6. Step 6: Final answer
    x = 689.66

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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.