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Finding the Fourth Proportional to 590.93, 815.15 and 394.57

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Solution

The fourth proportional to 590.93, 815.15 and 394.57 is: 544.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.93 : 815.15 = 394.57 : x
  2. Step 2: Convert to fraction form
    590.93/815.15 = 394.57/x
  3. Step 3: Cross multiply
    590.93x = 815.15 × 394.57
  4. Step 4: Simplify right side
    590.93x = 321,627.69
  5. Step 5: Solve for x
    x = 321,627.69/590.93
  6. Step 6: Final answer
    x = 544.28

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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.