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Finding the Fourth Proportional to 874.65, 1,310.21 and 405.46

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Solution

The fourth proportional to 874.65, 1,310.21 and 405.46 is: 607.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.65 : 1,310.21 = 405.46 : x
  2. Step 2: Convert to fraction form
    874.65/1,310.21 = 405.46/x
  3. Step 3: Cross multiply
    874.65x = 1,310.21 × 405.46
  4. Step 4: Simplify right side
    874.65x = 531,237.75
  5. Step 5: Solve for x
    x = 531,237.75/874.65
  6. Step 6: Final answer
    x = 607.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.