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Finding the Fourth Proportional to 905.57, 1,249.41 and 507.19

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Solution

The fourth proportional to 905.57, 1,249.41 and 507.19 is: 699.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.57 : 1,249.41 = 507.19 : x
  2. Step 2: Convert to fraction form
    905.57/1,249.41 = 507.19/x
  3. Step 3: Cross multiply
    905.57x = 1,249.41 × 507.19
  4. Step 4: Simplify right side
    905.57x = 633,685.13
  5. Step 5: Solve for x
    x = 633,685.13/905.57
  6. Step 6: Final answer
    x = 699.77

Related Problems

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Half scale
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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.