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Finding the Fourth Proportional to 561.73, 775.14 and 325.63

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Solution

The fourth proportional to 561.73, 775.14 and 325.63 is: 449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.73 : 775.14 = 325.63 : x
  2. Step 2: Convert to fraction form
    561.73/775.14 = 325.63/x
  3. Step 3: Cross multiply
    561.73x = 775.14 × 325.63
  4. Step 4: Simplify right side
    561.73x = 252,408.84
  5. Step 5: Solve for x
    x = 252,408.84/561.73
  6. Step 6: Final answer
    x = 449.34

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1.5x scale

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.