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Finding the Fourth Proportional to 436.65, 655.08 and 313.41

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Solution

The fourth proportional to 436.65, 655.08 and 313.41 is: 470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.65 : 655.08 = 313.41 : x
  2. Step 2: Convert to fraction form
    436.65/655.08 = 313.41/x
  3. Step 3: Cross multiply
    436.65x = 655.08 × 313.41
  4. Step 4: Simplify right side
    436.65x = 205,308.62
  5. Step 5: Solve for x
    x = 205,308.62/436.65
  6. Step 6: Final answer
    x = 470.19

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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.