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Finding the Fourth Proportional to 561.68, 775.01 and 325.67

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Solution

The fourth proportional to 561.68, 775.01 and 325.67 is: 449.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.68 : 775.01 = 325.67 : x
  2. Step 2: Convert to fraction form
    561.68/775.01 = 325.67/x
  3. Step 3: Cross multiply
    561.68x = 775.01 × 325.67
  4. Step 4: Simplify right side
    561.68x = 252,397.51
  5. Step 5: Solve for x
    x = 252,397.51/561.68
  6. Step 6: Final answer
    x = 449.36

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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.