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Finding the Fourth Proportional to 419.07, 631.44 and 374.85

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Solution

The fourth proportional to 419.07, 631.44 and 374.85 is: 564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.07 : 631.44 = 374.85 : x
  2. Step 2: Convert to fraction form
    419.07/631.44 = 374.85/x
  3. Step 3: Cross multiply
    419.07x = 631.44 × 374.85
  4. Step 4: Simplify right side
    419.07x = 236,695.28
  5. Step 5: Solve for x
    x = 236,695.28/419.07
  6. Step 6: Final answer
    x = 564.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.