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Finding the Fourth Proportional to 1,108.47, 1,663.87 and 816.30

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Solution

The fourth proportional to 1,108.47, 1,663.87 and 816.30 is: 1,225.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.47 : 1,663.87 = 816.30 : x
  2. Step 2: Convert to fraction form
    1,108.47/1,663.87 = 816.30/x
  3. Step 3: Cross multiply
    1,108.47x = 1,663.87 × 816.30
  4. Step 4: Simplify right side
    1,108.47x = 1,358,217.08
  5. Step 5: Solve for x
    x = 1,358,217.08/1,108.47
  6. Step 6: Final answer
    x = 1,225.31

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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.