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Finding the Fourth Proportional to 437.41, 655.57 and 313.37

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Solution

The fourth proportional to 437.41, 655.57 and 313.37 is: 469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.41 : 655.57 = 313.37 : x
  2. Step 2: Convert to fraction form
    437.41/655.57 = 313.37/x
  3. Step 3: Cross multiply
    437.41x = 655.57 × 313.37
  4. Step 4: Simplify right side
    437.41x = 205,435.97
  5. Step 5: Solve for x
    x = 205,435.97/437.41
  6. Step 6: Final answer
    x = 469.66

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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.