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Finding the Fourth Proportional to 647.11, 893.21 and 614.05

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Solution

The fourth proportional to 647.11, 893.21 and 614.05 is: 847.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.11 : 893.21 = 614.05 : x
  2. Step 2: Convert to fraction form
    647.11/893.21 = 614.05/x
  3. Step 3: Cross multiply
    647.11x = 893.21 × 614.05
  4. Step 4: Simplify right side
    647.11x = 548,474.76
  5. Step 5: Solve for x
    x = 548,474.76/647.11
  6. Step 6: Final answer
    x = 847.58

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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.