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Finding the Fourth Proportional to 657.41, 986.27 and 452.07

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Solution

The fourth proportional to 657.41, 986.27 and 452.07 is: 678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.41 : 986.27 = 452.07 : x
  2. Step 2: Convert to fraction form
    657.41/986.27 = 452.07/x
  3. Step 3: Cross multiply
    657.41x = 986.27 × 452.07
  4. Step 4: Simplify right side
    657.41x = 445,860.82
  5. Step 5: Solve for x
    x = 445,860.82/657.41
  6. Step 6: Final answer
    x = 678.21

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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.