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Finding the Fourth Proportional to 1,087.21, 1,630.21 and 510.09

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Solution

The fourth proportional to 1,087.21, 1,630.21 and 510.09 is: 764.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.21 : 1,630.21 = 510.09 : x
  2. Step 2: Convert to fraction form
    1,087.21/1,630.21 = 510.09/x
  3. Step 3: Cross multiply
    1,087.21x = 1,630.21 × 510.09
  4. Step 4: Simplify right side
    1,087.21x = 831,553.82
  5. Step 5: Solve for x
    x = 831,553.82/1,087.21
  6. Step 6: Final answer
    x = 764.85

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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.