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Finding the Fourth Proportional to 906.09, 1,250.40 and 507.79

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Solution

The fourth proportional to 906.09, 1,250.40 and 507.79 is: 700.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.09 : 1,250.40 = 507.79 : x
  2. Step 2: Convert to fraction form
    906.09/1,250.40 = 507.79/x
  3. Step 3: Cross multiply
    906.09x = 1,250.40 × 507.79
  4. Step 4: Simplify right side
    906.09x = 634,940.62
  5. Step 5: Solve for x
    x = 634,940.62/906.09
  6. Step 6: Final answer
    x = 700.75

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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.