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Finding the Fourth Proportional to 587.70, 809.28 and 421.65

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Solution

The fourth proportional to 587.70, 809.28 and 421.65 is: 580.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.70 : 809.28 = 421.65 : x
  2. Step 2: Convert to fraction form
    587.70/809.28 = 421.65/x
  3. Step 3: Cross multiply
    587.70x = 809.28 × 421.65
  4. Step 4: Simplify right side
    587.70x = 341,232.91
  5. Step 5: Solve for x
    x = 341,232.91/587.70
  6. Step 6: Final answer
    x = 580.62

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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.