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Finding the Fourth Proportional to 798.78, 1,199.35 and 491.92

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Solution

The fourth proportional to 798.78, 1,199.35 and 491.92 is: 738.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.78 : 1,199.35 = 491.92 : x
  2. Step 2: Convert to fraction form
    798.78/1,199.35 = 491.92/x
  3. Step 3: Cross multiply
    798.78x = 1,199.35 × 491.92
  4. Step 4: Simplify right side
    798.78x = 589,980.02
  5. Step 5: Solve for x
    x = 589,980.02/798.78
  6. Step 6: Final answer
    x = 738.60

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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.