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Finding the Fourth Proportional to 1,109.92, 1,530.20 and 795.64

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Solution

The fourth proportional to 1,109.92, 1,530.20 and 795.64 is: 1,096.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.92 : 1,530.20 = 795.64 : x
  2. Step 2: Convert to fraction form
    1,109.92/1,530.20 = 795.64/x
  3. Step 3: Cross multiply
    1,109.92x = 1,530.20 × 795.64
  4. Step 4: Simplify right side
    1,109.92x = 1,217,488.33
  5. Step 5: Solve for x
    x = 1,217,488.33/1,109.92
  6. Step 6: Final answer
    x = 1,096.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.