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Finding the Fourth Proportional to 591.49, 816.48 and 414.46

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Solution

The fourth proportional to 591.49, 816.48 and 414.46 is: 572.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.49 : 816.48 = 414.46 : x
  2. Step 2: Convert to fraction form
    591.49/816.48 = 414.46/x
  3. Step 3: Cross multiply
    591.49x = 816.48 × 414.46
  4. Step 4: Simplify right side
    591.49x = 338,394.22
  5. Step 5: Solve for x
    x = 338,394.22/591.49
  6. Step 6: Final answer
    x = 572.11

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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.