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Finding the Fourth Proportional to 712.09, 1,066.63 and 364.36

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Solution

The fourth proportional to 712.09, 1,066.63 and 364.36 is: 545.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.09 : 1,066.63 = 364.36 : x
  2. Step 2: Convert to fraction form
    712.09/1,066.63 = 364.36/x
  3. Step 3: Cross multiply
    712.09x = 1,066.63 × 364.36
  4. Step 4: Simplify right side
    712.09x = 388,635.49
  5. Step 5: Solve for x
    x = 388,635.49/712.09
  6. Step 6: Final answer
    x = 545.77

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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.