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Finding the Fourth Proportional to 905.74, 1,249.68 and 556.18

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Solution

The fourth proportional to 905.74, 1,249.68 and 556.18 is: 767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.74 : 1,249.68 = 556.18 : x
  2. Step 2: Convert to fraction form
    905.74/1,249.68 = 556.18/x
  3. Step 3: Cross multiply
    905.74x = 1,249.68 × 556.18
  4. Step 4: Simplify right side
    905.74x = 695,047.02
  5. Step 5: Solve for x
    x = 695,047.02/905.74
  6. Step 6: Final answer
    x = 767.38

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Double scale
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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.