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Finding the Fourth Proportional to 647.11, 891.97 and 437.21

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Solution

The fourth proportional to 647.11, 891.97 and 437.21 is: 602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.11 : 891.97 = 437.21 : x
  2. Step 2: Convert to fraction form
    647.11/891.97 = 437.21/x
  3. Step 3: Cross multiply
    647.11x = 891.97 × 437.21
  4. Step 4: Simplify right side
    647.11x = 389,978.20
  5. Step 5: Solve for x
    x = 389,978.20/647.11
  6. Step 6: Final answer
    x = 602.65

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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.