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Finding the Fourth Proportional to 969.99, 1,338.48 and 597.06

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Solution

The fourth proportional to 969.99, 1,338.48 and 597.06 is: 823.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.99 : 1,338.48 = 597.06 : x
  2. Step 2: Convert to fraction form
    969.99/1,338.48 = 597.06/x
  3. Step 3: Cross multiply
    969.99x = 1,338.48 × 597.06
  4. Step 4: Simplify right side
    969.99x = 799,152.87
  5. Step 5: Solve for x
    x = 799,152.87/969.99
  6. Step 6: Final answer
    x = 823.88

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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.