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Finding the Fourth Proportional to 453.52, 625.78 and 313.99

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Solution

The fourth proportional to 453.52, 625.78 and 313.99 is: 433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.52 : 625.78 = 313.99 : x
  2. Step 2: Convert to fraction form
    453.52/625.78 = 313.99/x
  3. Step 3: Cross multiply
    453.52x = 625.78 × 313.99
  4. Step 4: Simplify right side
    453.52x = 196,488.66
  5. Step 5: Solve for x
    x = 196,488.66/453.52
  6. Step 6: Final answer
    x = 433.25

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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.