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Finding the Fourth Proportional to 419.99, 633.62 and 400.95

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Solution

The fourth proportional to 419.99, 633.62 and 400.95 is: 604.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.99 : 633.62 = 400.95 : x
  2. Step 2: Convert to fraction form
    419.99/633.62 = 400.95/x
  3. Step 3: Cross multiply
    419.99x = 633.62 × 400.95
  4. Step 4: Simplify right side
    419.99x = 254,050.94
  5. Step 5: Solve for x
    x = 254,050.94/419.99
  6. Step 6: Final answer
    x = 604.90

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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.