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Finding the Fourth Proportional to 633.92, 946.24 and 582.56

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Solution

The fourth proportional to 633.92, 946.24 and 582.56 is: 869.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.92 : 946.24 = 582.56 : x
  2. Step 2: Convert to fraction form
    633.92/946.24 = 582.56/x
  3. Step 3: Cross multiply
    633.92x = 946.24 × 582.56
  4. Step 4: Simplify right side
    633.92x = 551,241.57
  5. Step 5: Solve for x
    x = 551,241.57/633.92
  6. Step 6: Final answer
    x = 869.58

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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.