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Finding the Fourth Proportional to 969.28, 1,335 and 838.24

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Solution

The fourth proportional to 969.28, 1,335 and 838.24 is: 1,154.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.28 : 1,335 = 838.24 : x
  2. Step 2: Convert to fraction form
    969.28/1,335 = 838.24/x
  3. Step 3: Cross multiply
    969.28x = 1,335 × 838.24
  4. Step 4: Simplify right side
    969.28x = 1,119,050.40
  5. Step 5: Solve for x
    x = 1,119,050.40/969.28
  6. Step 6: Final answer
    x = 1,154.52

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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.