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Finding the Fourth Proportional to 906.85, 1,249.77 and 740.53

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Solution

The fourth proportional to 906.85, 1,249.77 and 740.53 is: 1,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.85 : 1,249.77 = 740.53 : x
  2. Step 2: Convert to fraction form
    906.85/1,249.77 = 740.53/x
  3. Step 3: Cross multiply
    906.85x = 1,249.77 × 740.53
  4. Step 4: Simplify right side
    906.85x = 925,492.18
  5. Step 5: Solve for x
    x = 925,492.18/906.85
  6. Step 6: Final answer
    x = 1,020.56

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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.