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Finding the Fourth Proportional to 905.82, 1,250.13 and 507.55

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Solution

The fourth proportional to 905.82, 1,250.13 and 507.55 is: 700.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.82 : 1,250.13 = 507.55 : x
  2. Step 2: Convert to fraction form
    905.82/1,250.13 = 507.55/x
  3. Step 3: Cross multiply
    905.82x = 1,250.13 × 507.55
  4. Step 4: Simplify right side
    905.82x = 634,497.19
  5. Step 5: Solve for x
    x = 634,497.19/905.82
  6. Step 6: Final answer
    x = 700.47

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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.