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Finding the Fourth Proportional to 589.75, 814.16 and 415.40

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Solution

The fourth proportional to 589.75, 814.16 and 415.40 is: 573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.75 : 814.16 = 415.40 : x
  2. Step 2: Convert to fraction form
    589.75/814.16 = 415.40/x
  3. Step 3: Cross multiply
    589.75x = 814.16 × 415.40
  4. Step 4: Simplify right side
    589.75x = 338,202.06
  5. Step 5: Solve for x
    x = 338,202.06/589.75
  6. Step 6: Final answer
    x = 573.47

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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.