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Finding the Fourth Proportional to 798.79, 1,197.79 and 474.07

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Solution

The fourth proportional to 798.79, 1,197.79 and 474.07 is: 710.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.79 : 1,197.79 = 474.07 : x
  2. Step 2: Convert to fraction form
    798.79/1,197.79 = 474.07/x
  3. Step 3: Cross multiply
    798.79x = 1,197.79 × 474.07
  4. Step 4: Simplify right side
    798.79x = 567,836.31
  5. Step 5: Solve for x
    x = 567,836.31/798.79
  6. Step 6: Final answer
    x = 710.87

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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.