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Finding the Fourth Proportional to 590.29, 814.04 and 390.81

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Solution

The fourth proportional to 590.29, 814.04 and 390.81 is: 538.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.29 : 814.04 = 390.81 : x
  2. Step 2: Convert to fraction form
    590.29/814.04 = 390.81/x
  3. Step 3: Cross multiply
    590.29x = 814.04 × 390.81
  4. Step 4: Simplify right side
    590.29x = 318,128.95
  5. Step 5: Solve for x
    x = 318,128.95/590.29
  6. Step 6: Final answer
    x = 538.94

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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.