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Finding the Fourth Proportional to 424.56, 582.53 and 401.34

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Solution

The fourth proportional to 424.56, 582.53 and 401.34 is: 550.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.56 : 582.53 = 401.34 : x
  2. Step 2: Convert to fraction form
    424.56/582.53 = 401.34/x
  3. Step 3: Cross multiply
    424.56x = 582.53 × 401.34
  4. Step 4: Simplify right side
    424.56x = 233,792.59
  5. Step 5: Solve for x
    x = 233,792.59/424.56
  6. Step 6: Final answer
    x = 550.67

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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.