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Finding the Fourth Proportional to 419.96, 626.85 and 370.70

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Solution

The fourth proportional to 419.96, 626.85 and 370.70 is: 553.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.96 : 626.85 = 370.70 : x
  2. Step 2: Convert to fraction form
    419.96/626.85 = 370.70/x
  3. Step 3: Cross multiply
    419.96x = 626.85 × 370.70
  4. Step 4: Simplify right side
    419.96x = 232,370.16
  5. Step 5: Solve for x
    x = 232,370.16/419.96
  6. Step 6: Final answer
    x = 553.32

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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.