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Finding the Fourth Proportional to 590.64, 815.21 and 369.73

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Solution

The fourth proportional to 590.64, 815.21 and 369.73 is: 510.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.64 : 815.21 = 369.73 : x
  2. Step 2: Convert to fraction form
    590.64/815.21 = 369.73/x
  3. Step 3: Cross multiply
    590.64x = 815.21 × 369.73
  4. Step 4: Simplify right side
    590.64x = 301,407.59
  5. Step 5: Solve for x
    x = 301,407.59/590.64
  6. Step 6: Final answer
    x = 510.31

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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.