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Finding the Fourth Proportional to 876.21, 1,314.99 and 465.49

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Solution

The fourth proportional to 876.21, 1,314.99 and 465.49 is: 698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.21 : 1,314.99 = 465.49 : x
  2. Step 2: Convert to fraction form
    876.21/1,314.99 = 465.49/x
  3. Step 3: Cross multiply
    876.21x = 1,314.99 × 465.49
  4. Step 4: Simplify right side
    876.21x = 612,114.70
  5. Step 5: Solve for x
    x = 612,114.70/876.21
  6. Step 6: Final answer
    x = 698.59

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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.