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Finding the Fourth Proportional to 456, 625.13 and 431.70

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Solution

The fourth proportional to 456, 625.13 and 431.70 is: 591.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    456 : 625.13 = 431.70 : x
  2. Step 2: Convert to fraction form
    456/625.13 = 431.70/x
  3. Step 3: Cross multiply
    456x = 625.13 × 431.70
  4. Step 4: Simplify right side
    456x = 269,866.46
  5. Step 5: Solve for x
    x = 269,866.46/456
  6. Step 6: Final answer
    x = 591.81

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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.