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Finding the Fourth Proportional to 473.89, 651.43 and 423.57

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Solution

The fourth proportional to 473.89, 651.43 and 423.57 is: 582.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.89 : 651.43 = 423.57 : x
  2. Step 2: Convert to fraction form
    473.89/651.43 = 423.57/x
  3. Step 3: Cross multiply
    473.89x = 651.43 × 423.57
  4. Step 4: Simplify right side
    473.89x = 275,926.21
  5. Step 5: Solve for x
    x = 275,926.21/473.89
  6. Step 6: Final answer
    x = 582.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.