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Finding the Fourth Proportional to 905, 1,249.06 and 537

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Solution

The fourth proportional to 905, 1,249.06 and 537 is: 741.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    905 : 1,249.06 = 537 : x
  2. Step 2: Convert to fraction form
    905/1,249.06 = 537/x
  3. Step 3: Cross multiply
    905x = 1,249.06 × 537
  4. Step 4: Simplify right side
    905x = 670,745.22
  5. Step 5: Solve for x
    x = 670,745.22/905
  6. Step 6: Final answer
    x = 741.15

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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.