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Finding the Fourth Proportional to 906.89, 1,253.06 and 722.00

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Solution

The fourth proportional to 906.89, 1,253.06 and 722.00 is: 997.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.89 : 1,253.06 = 722.00 : x
  2. Step 2: Convert to fraction form
    906.89/1,253.06 = 722.00/x
  3. Step 3: Cross multiply
    906.89x = 1,253.06 × 722.00
  4. Step 4: Simplify right side
    906.89x = 904,699.44
  5. Step 5: Solve for x
    x = 904,699.44/906.89
  6. Step 6: Final answer
    x = 997.59

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Double scale
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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.