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Finding the Fourth Proportional to 419.57, 625.39 and 386.76

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Solution

The fourth proportional to 419.57, 625.39 and 386.76 is: 576.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.57 : 625.39 = 386.76 : x
  2. Step 2: Convert to fraction form
    419.57/625.39 = 386.76/x
  3. Step 3: Cross multiply
    419.57x = 625.39 × 386.76
  4. Step 4: Simplify right side
    419.57x = 241,875.84
  5. Step 5: Solve for x
    x = 241,875.84/419.57
  6. Step 6: Final answer
    x = 576.49

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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.