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Finding the Fourth Proportional to 532.40, 794.79 and 494.33

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Solution

The fourth proportional to 532.40, 794.79 and 494.33 is: 737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.40 : 794.79 = 494.33 : x
  2. Step 2: Convert to fraction form
    532.40/794.79 = 494.33/x
  3. Step 3: Cross multiply
    532.40x = 794.79 × 494.33
  4. Step 4: Simplify right side
    532.40x = 392,884.57
  5. Step 5: Solve for x
    x = 392,884.57/532.40
  6. Step 6: Final answer
    x = 737.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.