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Finding the Fourth Proportional to 591.56, 815.72 and 414.47

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Solution

The fourth proportional to 591.56, 815.72 and 414.47 is: 571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.56 : 815.72 = 414.47 : x
  2. Step 2: Convert to fraction form
    591.56/815.72 = 414.47/x
  3. Step 3: Cross multiply
    591.56x = 815.72 × 414.47
  4. Step 4: Simplify right side
    591.56x = 338,089.42
  5. Step 5: Solve for x
    x = 338,089.42/591.56
  6. Step 6: Final answer
    x = 571.52

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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.