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Finding the Fourth Proportional to 419.13, 625.26 and 389.67

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Solution

The fourth proportional to 419.13, 625.26 and 389.67 is: 581.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.13 : 625.26 = 389.67 : x
  2. Step 2: Convert to fraction form
    419.13/625.26 = 389.67/x
  3. Step 3: Cross multiply
    419.13x = 625.26 × 389.67
  4. Step 4: Simplify right side
    419.13x = 243,645.06
  5. Step 5: Solve for x
    x = 243,645.06/419.13
  6. Step 6: Final answer
    x = 581.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.