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Finding the Fourth Proportional to 436.91, 603.05 and 312.80

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Solution

The fourth proportional to 436.91, 603.05 and 312.80 is: 431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.91 : 603.05 = 312.80 : x
  2. Step 2: Convert to fraction form
    436.91/603.05 = 312.80/x
  3. Step 3: Cross multiply
    436.91x = 603.05 × 312.80
  4. Step 4: Simplify right side
    436.91x = 188,629.46
  5. Step 5: Solve for x
    x = 188,629.46/436.91
  6. Step 6: Final answer
    x = 431.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.