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Finding the Fourth Proportional to 715.44, 1,072.64 and 406.46

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Solution

The fourth proportional to 715.44, 1,072.64 and 406.46 is: 609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.44 : 1,072.64 = 406.46 : x
  2. Step 2: Convert to fraction form
    715.44/1,072.64 = 406.46/x
  3. Step 3: Cross multiply
    715.44x = 1,072.64 × 406.46
  4. Step 4: Simplify right side
    715.44x = 435,985.25
  5. Step 5: Solve for x
    x = 435,985.25/715.44
  6. Step 6: Final answer
    x = 609.39

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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.