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Finding the Fourth Proportional to 584.76, 880.61 and 423.57

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Solution

The fourth proportional to 584.76, 880.61 and 423.57 is: 637.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.76 : 880.61 = 423.57 : x
  2. Step 2: Convert to fraction form
    584.76/880.61 = 423.57/x
  3. Step 3: Cross multiply
    584.76x = 880.61 × 423.57
  4. Step 4: Simplify right side
    584.76x = 372,997.86
  5. Step 5: Solve for x
    x = 372,997.86/584.76
  6. Step 6: Final answer
    x = 637.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.