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Finding the Fourth Proportional to 419.24, 624.61 and 398.59

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Solution

The fourth proportional to 419.24, 624.61 and 398.59 is: 593.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.24 : 624.61 = 398.59 : x
  2. Step 2: Convert to fraction form
    419.24/624.61 = 398.59/x
  3. Step 3: Cross multiply
    419.24x = 624.61 × 398.59
  4. Step 4: Simplify right side
    419.24x = 248,960.18
  5. Step 5: Solve for x
    x = 248,960.18/419.24
  6. Step 6: Final answer
    x = 593.84

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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.