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Finding the Fourth Proportional to 590.25, 814.08 and 368.79

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Solution

The fourth proportional to 590.25, 814.08 and 368.79 is: 508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.25 : 814.08 = 368.79 : x
  2. Step 2: Convert to fraction form
    590.25/814.08 = 368.79/x
  3. Step 3: Cross multiply
    590.25x = 814.08 × 368.79
  4. Step 4: Simplify right side
    590.25x = 300,224.56
  5. Step 5: Solve for x
    x = 300,224.56/590.25
  6. Step 6: Final answer
    x = 508.64

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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.