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Finding the Fourth Proportional to 675.12, 925.62 and 662.16

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Solution

The fourth proportional to 675.12, 925.62 and 662.16 is: 907.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.12 : 925.62 = 662.16 : x
  2. Step 2: Convert to fraction form
    675.12/925.62 = 662.16/x
  3. Step 3: Cross multiply
    675.12x = 925.62 × 662.16
  4. Step 4: Simplify right side
    675.12x = 612,908.54
  5. Step 5: Solve for x
    x = 612,908.54/675.12
  6. Step 6: Final answer
    x = 907.85

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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.