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Finding the Fourth Proportional to 438.17, 605.03 and 418.35

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Solution

The fourth proportional to 438.17, 605.03 and 418.35 is: 577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.17 : 605.03 = 418.35 : x
  2. Step 2: Convert to fraction form
    438.17/605.03 = 418.35/x
  3. Step 3: Cross multiply
    438.17x = 605.03 × 418.35
  4. Step 4: Simplify right side
    438.17x = 253,114.30
  5. Step 5: Solve for x
    x = 253,114.30/438.17
  6. Step 6: Final answer
    x = 577.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.