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Finding the Fourth Proportional to 587.09, 810.27 and 354.21

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Solution

The fourth proportional to 587.09, 810.27 and 354.21 is: 488.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.09 : 810.27 = 354.21 : x
  2. Step 2: Convert to fraction form
    587.09/810.27 = 354.21/x
  3. Step 3: Cross multiply
    587.09x = 810.27 × 354.21
  4. Step 4: Simplify right side
    587.09x = 287,005.74
  5. Step 5: Solve for x
    x = 287,005.74/587.09
  6. Step 6: Final answer
    x = 488.86

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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.