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Finding the Fourth Proportional to 738.62, 1,012.68 and 725.45

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Solution

The fourth proportional to 738.62, 1,012.68 and 725.45 is: 994.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.62 : 1,012.68 = 725.45 : x
  2. Step 2: Convert to fraction form
    738.62/1,012.68 = 725.45/x
  3. Step 3: Cross multiply
    738.62x = 1,012.68 × 725.45
  4. Step 4: Simplify right side
    738.62x = 734,643.64
  5. Step 5: Solve for x
    x = 734,643.64/738.62
  6. Step 6: Final answer
    x = 994.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.