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Finding the Fourth Proportional to 1,109.45, 1,663.30 and 553.87

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Solution

The fourth proportional to 1,109.45, 1,663.30 and 553.87 is: 830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.45 : 1,663.30 = 553.87 : x
  2. Step 2: Convert to fraction form
    1,109.45/1,663.30 = 553.87/x
  3. Step 3: Cross multiply
    1,109.45x = 1,663.30 × 553.87
  4. Step 4: Simplify right side
    1,109.45x = 921,252.67
  5. Step 5: Solve for x
    x = 921,252.67/1,109.45
  6. Step 6: Final answer
    x = 830.37

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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.