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Finding the Fourth Proportional to 680.54, 936.27 and 532.89

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Solution

The fourth proportional to 680.54, 936.27 and 532.89 is: 733.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.54 : 936.27 = 532.89 : x
  2. Step 2: Convert to fraction form
    680.54/936.27 = 532.89/x
  3. Step 3: Cross multiply
    680.54x = 936.27 × 532.89
  4. Step 4: Simplify right side
    680.54x = 498,928.92
  5. Step 5: Solve for x
    x = 498,928.92/680.54
  6. Step 6: Final answer
    x = 733.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.