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Finding the Fourth Proportional to 906.85, 1,252.21 and 612.28

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Solution

The fourth proportional to 906.85, 1,252.21 and 612.28 is: 845.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.85 : 1,252.21 = 612.28 : x
  2. Step 2: Convert to fraction form
    906.85/1,252.21 = 612.28/x
  3. Step 3: Cross multiply
    906.85x = 1,252.21 × 612.28
  4. Step 4: Simplify right side
    906.85x = 766,707.84
  5. Step 5: Solve for x
    x = 766,707.84/906.85
  6. Step 6: Final answer
    x = 845.47

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1.5x scale

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.