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Finding the Fourth Proportional to 660.94, 912.17 and 421.84

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Solution

The fourth proportional to 660.94, 912.17 and 421.84 is: 582.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.94 : 912.17 = 421.84 : x
  2. Step 2: Convert to fraction form
    660.94/912.17 = 421.84/x
  3. Step 3: Cross multiply
    660.94x = 912.17 × 421.84
  4. Step 4: Simplify right side
    660.94x = 384,785.40
  5. Step 5: Solve for x
    x = 384,785.40/660.94
  6. Step 6: Final answer
    x = 582.18

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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.