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Finding the Fourth Proportional to 876.70, 1,314.44 and 414.22

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Solution

The fourth proportional to 876.70, 1,314.44 and 414.22 is: 621.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.70 : 1,314.44 = 414.22 : x
  2. Step 2: Convert to fraction form
    876.70/1,314.44 = 414.22/x
  3. Step 3: Cross multiply
    876.70x = 1,314.44 × 414.22
  4. Step 4: Simplify right side
    876.70x = 544,467.34
  5. Step 5: Solve for x
    x = 544,467.34/876.70
  6. Step 6: Final answer
    x = 621.04

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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.