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Finding the Fourth Proportional to 1,302.48, 1,955.25 and 1,099.62

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Solution

The fourth proportional to 1,302.48, 1,955.25 and 1,099.62 is: 1,650.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.48 : 1,955.25 = 1,099.62 : x
  2. Step 2: Convert to fraction form
    1,302.48/1,955.25 = 1,099.62/x
  3. Step 3: Cross multiply
    1,302.48x = 1,955.25 × 1,099.62
  4. Step 4: Simplify right side
    1,302.48x = 2,150,032.01
  5. Step 5: Solve for x
    x = 2,150,032.01/1,302.48
  6. Step 6: Final answer
    x = 1,650.72

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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.