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Finding the Fourth Proportional to 712.34, 1,066.21 and 644.98

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Solution

The fourth proportional to 712.34, 1,066.21 and 644.98 is: 965.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.34 : 1,066.21 = 644.98 : x
  2. Step 2: Convert to fraction form
    712.34/1,066.21 = 644.98/x
  3. Step 3: Cross multiply
    712.34x = 1,066.21 × 644.98
  4. Step 4: Simplify right side
    712.34x = 687,684.13
  5. Step 5: Solve for x
    x = 687,684.13/712.34
  6. Step 6: Final answer
    x = 965.39

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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.