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Finding the Fourth Proportional to 419.06, 624.44 and 399.42

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Solution

The fourth proportional to 419.06, 624.44 and 399.42 is: 595.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.06 : 624.44 = 399.42 : x
  2. Step 2: Convert to fraction form
    419.06/624.44 = 399.42/x
  3. Step 3: Cross multiply
    419.06x = 624.44 × 399.42
  4. Step 4: Simplify right side
    419.06x = 249,413.82
  5. Step 5: Solve for x
    x = 249,413.82/419.06
  6. Step 6: Final answer
    x = 595.17

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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.