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Finding the Fourth Proportional to 1,097.36, 1,646.26 and 357.02

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Solution

The fourth proportional to 1,097.36, 1,646.26 and 357.02 is: 535.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.36 : 1,646.26 = 357.02 : x
  2. Step 2: Convert to fraction form
    1,097.36/1,646.26 = 357.02/x
  3. Step 3: Cross multiply
    1,097.36x = 1,646.26 × 357.02
  4. Step 4: Simplify right side
    1,097.36x = 587,747.75
  5. Step 5: Solve for x
    x = 587,747.75/1,097.36
  6. Step 6: Final answer
    x = 535.60

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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.