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Finding the Fourth Proportional to 419.43, 626.14 and 364.76

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Solution

The fourth proportional to 419.43, 626.14 and 364.76 is: 544.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.43 : 626.14 = 364.76 : x
  2. Step 2: Convert to fraction form
    419.43/626.14 = 364.76/x
  3. Step 3: Cross multiply
    419.43x = 626.14 × 364.76
  4. Step 4: Simplify right side
    419.43x = 228,390.83
  5. Step 5: Solve for x
    x = 228,390.83/419.43
  6. Step 6: Final answer
    x = 544.53

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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.