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Finding the Fourth Proportional to 1,099.26, 1,648.40 and 368.64

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Solution

The fourth proportional to 1,099.26, 1,648.40 and 368.64 is: 552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.26 : 1,648.40 = 368.64 : x
  2. Step 2: Convert to fraction form
    1,099.26/1,648.40 = 368.64/x
  3. Step 3: Cross multiply
    1,099.26x = 1,648.40 × 368.64
  4. Step 4: Simplify right side
    1,099.26x = 607,666.18
  5. Step 5: Solve for x
    x = 607,666.18/1,099.26
  6. Step 6: Final answer
    x = 552.80

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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.