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Finding the Fourth Proportional to 648.02, 970.41 and 511.81

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Solution

The fourth proportional to 648.02, 970.41 and 511.81 is: 766.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.02 : 970.41 = 511.81 : x
  2. Step 2: Convert to fraction form
    648.02/970.41 = 511.81/x
  3. Step 3: Cross multiply
    648.02x = 970.41 × 511.81
  4. Step 4: Simplify right side
    648.02x = 496,665.54
  5. Step 5: Solve for x
    x = 496,665.54/648.02
  6. Step 6: Final answer
    x = 766.44

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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.