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Finding the Fourth Proportional to 660.42, 984.16 and 621.47

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Solution

The fourth proportional to 660.42, 984.16 and 621.47 is: 926.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.42 : 984.16 = 621.47 : x
  2. Step 2: Convert to fraction form
    660.42/984.16 = 621.47/x
  3. Step 3: Cross multiply
    660.42x = 984.16 × 621.47
  4. Step 4: Simplify right side
    660.42x = 611,625.92
  5. Step 5: Solve for x
    x = 611,625.92/660.42
  6. Step 6: Final answer
    x = 926.12

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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.