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Finding the Fourth Proportional to 438.77, 605.75 and 289.82

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Solution

The fourth proportional to 438.77, 605.75 and 289.82 is: 400.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.77 : 605.75 = 289.82 : x
  2. Step 2: Convert to fraction form
    438.77/605.75 = 289.82/x
  3. Step 3: Cross multiply
    438.77x = 605.75 × 289.82
  4. Step 4: Simplify right side
    438.77x = 175,558.47
  5. Step 5: Solve for x
    x = 175,558.47/438.77
  6. Step 6: Final answer
    x = 400.12

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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.