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Finding the Fourth Proportional to 905.46, 1,249.54 and 491.46

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Solution

The fourth proportional to 905.46, 1,249.54 and 491.46 is: 678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.46 : 1,249.54 = 491.46 : x
  2. Step 2: Convert to fraction form
    905.46/1,249.54 = 491.46/x
  3. Step 3: Cross multiply
    905.46x = 1,249.54 × 491.46
  4. Step 4: Simplify right side
    905.46x = 614,098.93
  5. Step 5: Solve for x
    x = 614,098.93/905.46
  6. Step 6: Final answer
    x = 678.22

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1.5x scale

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.