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Finding the Fourth Proportional to 587.69, 812.08 and 421.62

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Solution

The fourth proportional to 587.69, 812.08 and 421.62 is: 582.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.69 : 812.08 = 421.62 : x
  2. Step 2: Convert to fraction form
    587.69/812.08 = 421.62/x
  3. Step 3: Cross multiply
    587.69x = 812.08 × 421.62
  4. Step 4: Simplify right side
    587.69x = 342,384.28
  5. Step 5: Solve for x
    x = 342,384.28/587.69
  6. Step 6: Final answer
    x = 582.59

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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.