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Finding the Fourth Proportional to 590.04, 814.29 and 393.88

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Solution

The fourth proportional to 590.04, 814.29 and 393.88 is: 543.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.04 : 814.29 = 393.88 : x
  2. Step 2: Convert to fraction form
    590.04/814.29 = 393.88/x
  3. Step 3: Cross multiply
    590.04x = 814.29 × 393.88
  4. Step 4: Simplify right side
    590.04x = 320,727.49
  5. Step 5: Solve for x
    x = 320,727.49/590.04
  6. Step 6: Final answer
    x = 543.57

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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.