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Finding the Fourth Proportional to 587.10, 809.41 and 487.14

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Solution

The fourth proportional to 587.10, 809.41 and 487.14 is: 671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.10 : 809.41 = 487.14 : x
  2. Step 2: Convert to fraction form
    587.10/809.41 = 487.14/x
  3. Step 3: Cross multiply
    587.10x = 809.41 × 487.14
  4. Step 4: Simplify right side
    587.10x = 394,295.99
  5. Step 5: Solve for x
    x = 394,295.99/587.10
  6. Step 6: Final answer
    x = 671.60

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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.