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Finding the Fourth Proportional to 905.35, 1,249.37 and 507.01

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Solution

The fourth proportional to 905.35, 1,249.37 and 507.01 is: 699.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.35 : 1,249.37 = 507.01 : x
  2. Step 2: Convert to fraction form
    905.35/1,249.37 = 507.01/x
  3. Step 3: Cross multiply
    905.35x = 1,249.37 × 507.01
  4. Step 4: Simplify right side
    905.35x = 633,443.08
  5. Step 5: Solve for x
    x = 633,443.08/905.35
  6. Step 6: Final answer
    x = 699.67

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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.