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Finding the Fourth Proportional to 712.08, 1,069.64 and 438.36

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Solution

The fourth proportional to 712.08, 1,069.64 and 438.36 is: 658.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.08 : 1,069.64 = 438.36 : x
  2. Step 2: Convert to fraction form
    712.08/1,069.64 = 438.36/x
  3. Step 3: Cross multiply
    712.08x = 1,069.64 × 438.36
  4. Step 4: Simplify right side
    712.08x = 468,887.39
  5. Step 5: Solve for x
    x = 468,887.39/712.08
  6. Step 6: Final answer
    x = 658.48

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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.