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Finding the Fourth Proportional to 906.15, 1,249.65 and 709.32

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Solution

The fourth proportional to 906.15, 1,249.65 and 709.32 is: 978.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.15 : 1,249.65 = 709.32 : x
  2. Step 2: Convert to fraction form
    906.15/1,249.65 = 709.32/x
  3. Step 3: Cross multiply
    906.15x = 1,249.65 × 709.32
  4. Step 4: Simplify right side
    906.15x = 886,401.74
  5. Step 5: Solve for x
    x = 886,401.74/906.15
  6. Step 6: Final answer
    x = 978.21

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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.