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Finding the Fourth Proportional to 936.64, 1,406.22 and 607.60

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Solution

The fourth proportional to 936.64, 1,406.22 and 607.60 is: 912.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.64 : 1,406.22 = 607.60 : x
  2. Step 2: Convert to fraction form
    936.64/1,406.22 = 607.60/x
  3. Step 3: Cross multiply
    936.64x = 1,406.22 × 607.60
  4. Step 4: Simplify right side
    936.64x = 854,419.27
  5. Step 5: Solve for x
    x = 854,419.27/936.64
  6. Step 6: Final answer
    x = 912.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.