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Finding the Fourth Proportional to 587.06, 810.41 and 400.85

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Solution

The fourth proportional to 587.06, 810.41 and 400.85 is: 553.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.06 : 810.41 = 400.85 : x
  2. Step 2: Convert to fraction form
    587.06/810.41 = 400.85/x
  3. Step 3: Cross multiply
    587.06x = 810.41 × 400.85
  4. Step 4: Simplify right side
    587.06x = 324,855.88
  5. Step 5: Solve for x
    x = 324,855.88/587.06
  6. Step 6: Final answer
    x = 553.37

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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.