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Finding the Fourth Proportional to 798.07, 1,197.65 and 304.42

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Solution

The fourth proportional to 798.07, 1,197.65 and 304.42 is: 456.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.07 : 1,197.65 = 304.42 : x
  2. Step 2: Convert to fraction form
    798.07/1,197.65 = 304.42/x
  3. Step 3: Cross multiply
    798.07x = 1,197.65 × 304.42
  4. Step 4: Simplify right side
    798.07x = 364,586.38
  5. Step 5: Solve for x
    x = 364,586.38/798.07
  6. Step 6: Final answer
    x = 456.84

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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.