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Finding the Fourth Proportional to 712.24, 1,065.93 and 438.52

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Solution

The fourth proportional to 712.24, 1,065.93 and 438.52 is: 656.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.24 : 1,065.93 = 438.52 : x
  2. Step 2: Convert to fraction form
    712.24/1,065.93 = 438.52/x
  3. Step 3: Cross multiply
    712.24x = 1,065.93 × 438.52
  4. Step 4: Simplify right side
    712.24x = 467,431.62
  5. Step 5: Solve for x
    x = 467,431.62/712.24
  6. Step 6: Final answer
    x = 656.28

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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.