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Finding the Fourth Proportional to 798.28, 1,197.51 and 554.20

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Solution

The fourth proportional to 798.28, 1,197.51 and 554.20 is: 831.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.28 : 1,197.51 = 554.20 : x
  2. Step 2: Convert to fraction form
    798.28/1,197.51 = 554.20/x
  3. Step 3: Cross multiply
    798.28x = 1,197.51 × 554.20
  4. Step 4: Simplify right side
    798.28x = 663,660.04
  5. Step 5: Solve for x
    x = 663,660.04/798.28
  6. Step 6: Final answer
    x = 831.36

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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.