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Finding the Fourth Proportional to 453.46, 625.43 and 313.81

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Solution

The fourth proportional to 453.46, 625.43 and 313.81 is: 432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.46 : 625.43 = 313.81 : x
  2. Step 2: Convert to fraction form
    453.46/625.43 = 313.81/x
  3. Step 3: Cross multiply
    453.46x = 625.43 × 313.81
  4. Step 4: Simplify right side
    453.46x = 196,266.19
  5. Step 5: Solve for x
    x = 196,266.19/453.46
  6. Step 6: Final answer
    x = 432.82

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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.