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Finding the Fourth Proportional to 436.12, 653.44 and 313.76

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Solution

The fourth proportional to 436.12, 653.44 and 313.76 is: 470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.12 : 653.44 = 313.76 : x
  2. Step 2: Convert to fraction form
    436.12/653.44 = 313.76/x
  3. Step 3: Cross multiply
    436.12x = 653.44 × 313.76
  4. Step 4: Simplify right side
    436.12x = 205,023.33
  5. Step 5: Solve for x
    x = 205,023.33/436.12
  6. Step 6: Final answer
    x = 470.11

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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.