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Finding the Fourth Proportional to 590.30, 814.50 and 380.40

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Solution

The fourth proportional to 590.30, 814.50 and 380.40 is: 524.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.30 : 814.50 = 380.40 : x
  2. Step 2: Convert to fraction form
    590.30/814.50 = 380.40/x
  3. Step 3: Cross multiply
    590.30x = 814.50 × 380.40
  4. Step 4: Simplify right side
    590.30x = 309,835.80
  5. Step 5: Solve for x
    x = 309,835.80/590.30
  6. Step 6: Final answer
    x = 524.88

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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.