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Finding the Fourth Proportional to 797.13, 1,196.09 and 358.51

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Solution

The fourth proportional to 797.13, 1,196.09 and 358.51 is: 537.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.13 : 1,196.09 = 358.51 : x
  2. Step 2: Convert to fraction form
    797.13/1,196.09 = 358.51/x
  3. Step 3: Cross multiply
    797.13x = 1,196.09 × 358.51
  4. Step 4: Simplify right side
    797.13x = 428,810.23
  5. Step 5: Solve for x
    x = 428,810.23/797.13
  6. Step 6: Final answer
    x = 537.94

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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.