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Finding the Fourth Proportional to 587.19, 809.21 and 421.13

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Solution

The fourth proportional to 587.19, 809.21 and 421.13 is: 580.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.19 : 809.21 = 421.13 : x
  2. Step 2: Convert to fraction form
    587.19/809.21 = 421.13/x
  3. Step 3: Cross multiply
    587.19x = 809.21 × 421.13
  4. Step 4: Simplify right side
    587.19x = 340,776.46
  5. Step 5: Solve for x
    x = 340,776.46/587.19
  6. Step 6: Final answer
    x = 580.35

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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.