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Finding the Fourth Proportional to 517.03, 712.75 and 423.63

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Solution

The fourth proportional to 517.03, 712.75 and 423.63 is: 583.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.03 : 712.75 = 423.63 : x
  2. Step 2: Convert to fraction form
    517.03/712.75 = 423.63/x
  3. Step 3: Cross multiply
    517.03x = 712.75 × 423.63
  4. Step 4: Simplify right side
    517.03x = 301,942.02
  5. Step 5: Solve for x
    x = 301,942.02/517.03
  6. Step 6: Final answer
    x = 583.99

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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.