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Finding the Fourth Proportional to 905.79, 1,249.90 and 507.49

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Solution

The fourth proportional to 905.79, 1,249.90 and 507.49 is: 700.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.79 : 1,249.90 = 507.49 : x
  2. Step 2: Convert to fraction form
    905.79/1,249.90 = 507.49/x
  3. Step 3: Cross multiply
    905.79x = 1,249.90 × 507.49
  4. Step 4: Simplify right side
    905.79x = 634,311.75
  5. Step 5: Solve for x
    x = 634,311.75/905.79
  6. Step 6: Final answer
    x = 700.29

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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.