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Finding the Fourth Proportional to 419.32, 626.09 and 370.72

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Solution

The fourth proportional to 419.32, 626.09 and 370.72 is: 553.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.32 : 626.09 = 370.72 : x
  2. Step 2: Convert to fraction form
    419.32/626.09 = 370.72/x
  3. Step 3: Cross multiply
    419.32x = 626.09 × 370.72
  4. Step 4: Simplify right side
    419.32x = 232,104.08
  5. Step 5: Solve for x
    x = 232,104.08/419.32
  6. Step 6: Final answer
    x = 553.52

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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.