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Finding the Fourth Proportional to 969.45, 1,337.40 and 596.28

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Solution

The fourth proportional to 969.45, 1,337.40 and 596.28 is: 822.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.45 : 1,337.40 = 596.28 : x
  2. Step 2: Convert to fraction form
    969.45/1,337.40 = 596.28/x
  3. Step 3: Cross multiply
    969.45x = 1,337.40 × 596.28
  4. Step 4: Simplify right side
    969.45x = 797,464.87
  5. Step 5: Solve for x
    x = 797,464.87/969.45
  6. Step 6: Final answer
    x = 822.60

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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.