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Finding the Fourth Proportional to 587.24, 811.48 and 421.19

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Solution

The fourth proportional to 587.24, 811.48 and 421.19 is: 582.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.24 : 811.48 = 421.19 : x
  2. Step 2: Convert to fraction form
    587.24/811.48 = 421.19/x
  3. Step 3: Cross multiply
    587.24x = 811.48 × 421.19
  4. Step 4: Simplify right side
    587.24x = 341,789.36
  5. Step 5: Solve for x
    x = 341,789.36/587.24
  6. Step 6: Final answer
    x = 582.02

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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.