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Finding the Fourth Proportional to 590.42, 814.83 and 457.85

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Solution

The fourth proportional to 590.42, 814.83 and 457.85 is: 631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.42 : 814.83 = 457.85 : x
  2. Step 2: Convert to fraction form
    590.42/814.83 = 457.85/x
  3. Step 3: Cross multiply
    590.42x = 814.83 × 457.85
  4. Step 4: Simplify right side
    590.42x = 373,069.92
  5. Step 5: Solve for x
    x = 373,069.92/590.42
  6. Step 6: Final answer
    x = 631.87

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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.