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Finding the Fourth Proportional to 798.54, 1,197.71 and 213.58

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Solution

The fourth proportional to 798.54, 1,197.71 and 213.58 is: 320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.54 : 1,197.71 = 213.58 : x
  2. Step 2: Convert to fraction form
    798.54/1,197.71 = 213.58/x
  3. Step 3: Cross multiply
    798.54x = 1,197.71 × 213.58
  4. Step 4: Simplify right side
    798.54x = 255,808.13
  5. Step 5: Solve for x
    x = 255,808.13/798.54
  6. Step 6: Final answer
    x = 320.35

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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.