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Finding the Fourth Proportional to 419.64, 632.66 and 380.46

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Solution

The fourth proportional to 419.64, 632.66 and 380.46 is: 573.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.64 : 632.66 = 380.46 : x
  2. Step 2: Convert to fraction form
    419.64/632.66 = 380.46/x
  3. Step 3: Cross multiply
    419.64x = 632.66 × 380.46
  4. Step 4: Simplify right side
    419.64x = 240,701.82
  5. Step 5: Solve for x
    x = 240,701.82/419.64
  6. Step 6: Final answer
    x = 573.59

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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.